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Finding the Fourth Proportional to 96,937.42, 133,772.32 and 53,916.50

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Solution

The fourth proportional to 96,937.42, 133,772.32 and 53,916.50 is: 74,404.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,937.42 : 133,772.32 = 53,916.50 : x
  2. Step 2: Convert to fraction form
    96,937.42/133,772.32 = 53,916.50/x
  3. Step 3: Cross multiply
    96,937.42x = 133,772.32 × 53,916.50
  4. Step 4: Simplify right side
    96,937.42x = 7,212,535,291.28
  5. Step 5: Solve for x
    x = 7,212,535,291.28/96,937.42
  6. Step 6: Final answer
    x = 74,404.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.