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Finding the Fourth Proportional to 96,772.38, 133,538.52 and 54,322.71

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Solution

The fourth proportional to 96,772.38, 133,538.52 and 54,322.71 is: 74,961.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,772.38 : 133,538.52 = 54,322.71 : x
  2. Step 2: Convert to fraction form
    96,772.38/133,538.52 = 54,322.71/x
  3. Step 3: Cross multiply
    96,772.38x = 133,538.52 × 54,322.71
  4. Step 4: Simplify right side
    96,772.38x = 7,254,174,295.79
  5. Step 5: Solve for x
    x = 7,254,174,295.79/96,772.38
  6. Step 6: Final answer
    x = 74,961.21

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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.