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Finding the Fourth Proportional to 102,013.73, 153,046.53 and 59,929.40

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Solution

The fourth proportional to 102,013.73, 153,046.53 and 59,929.40 is: 89,909.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,013.73 : 153,046.53 = 59,929.40 : x
  2. Step 2: Convert to fraction form
    102,013.73/153,046.53 = 59,929.40/x
  3. Step 3: Cross multiply
    102,013.73x = 153,046.53 × 59,929.40
  4. Step 4: Simplify right side
    102,013.73x = 9,171,987,097.60
  5. Step 5: Solve for x
    x = 9,171,987,097.60/102,013.73
  6. Step 6: Final answer
    x = 89,909.34

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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.