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Finding the Fourth Proportional to 48,193.40, 72,287.40 and 14,913.20

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Solution

The fourth proportional to 48,193.40, 72,287.40 and 14,913.20 is: 22,368.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,193.40 : 72,287.40 = 14,913.20 : x
  2. Step 2: Convert to fraction form
    48,193.40/72,287.40 = 14,913.20/x
  3. Step 3: Cross multiply
    48,193.40x = 72,287.40 × 14,913.20
  4. Step 4: Simplify right side
    48,193.40x = 1,078,036,453.68
  5. Step 5: Solve for x
    x = 1,078,036,453.68/48,193.40
  6. Step 6: Final answer
    x = 22,368.96

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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.