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Finding the Fourth Proportional to 48,459,200.80, 72,728,458.80 and 48,081,287.20

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Solution

The fourth proportional to 48,459,200.80, 72,728,458.80 and 48,081,287.20 is: 72,161,279.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,459,200.80 : 72,728,458.80 = 48,081,287.20 : x
  2. Step 2: Convert to fraction form
    48,459,200.80/72,728,458.80 = 48,081,287.20/x
  3. Step 3: Cross multiply
    48,459,200.80x = 72,728,458.80 × 48,081,287.20
  4. Step 4: Simplify right side
    48,459,200.80x = 3,496,877,915,176,167.50
  5. Step 5: Solve for x
    x = 3,496,877,915,176,167.50/48,459,200.80
  6. Step 6: Final answer
    x = 72,161,279.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.