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Finding the Fourth Proportional to 59,432, 89,036.76 and 29,815.16

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Solution

The fourth proportional to 59,432, 89,036.76 and 29,815.16 is: 44,666.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,432 : 89,036.76 = 29,815.16 : x
  2. Step 2: Convert to fraction form
    59,432/89,036.76 = 29,815.16/x
  3. Step 3: Cross multiply
    59,432x = 89,036.76 × 29,815.16
  4. Step 4: Simplify right side
    59,432x = 2,654,645,245.28
  5. Step 5: Solve for x
    x = 2,654,645,245.28/59,432
  6. Step 6: Final answer
    x = 44,666.93

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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.