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Finding the Fourth Proportional to 101,332.64, 152,001.12 and 34,772.24

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Solution

The fourth proportional to 101,332.64, 152,001.12 and 34,772.24 is: 52,159.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,332.64 : 152,001.12 = 34,772.24 : x
  2. Step 2: Convert to fraction form
    101,332.64/152,001.12 = 34,772.24/x
  3. Step 3: Cross multiply
    101,332.64x = 152,001.12 × 34,772.24
  4. Step 4: Simplify right side
    101,332.64x = 5,285,419,424.91
  5. Step 5: Solve for x
    x = 5,285,419,424.91/101,332.64
  6. Step 6: Final answer
    x = 52,159.10

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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.