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Finding the Fourth Proportional to 48,105, 72,157.32 and 13,044.60

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Solution

The fourth proportional to 48,105, 72,157.32 and 13,044.60 is: 19,566.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,105 : 72,157.32 = 13,044.60 : x
  2. Step 2: Convert to fraction form
    48,105/72,157.32 = 13,044.60/x
  3. Step 3: Cross multiply
    48,105x = 72,157.32 × 13,044.60
  4. Step 4: Simplify right side
    48,105x = 941,263,376.47
  5. Step 5: Solve for x
    x = 941,263,376.47/48,105
  6. Step 6: Final answer
    x = 19,566.85

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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.