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Finding the Fourth Proportional to 80,722.78, 121,088.72 and 24,564.71

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Solution

The fourth proportional to 80,722.78, 121,088.72 and 24,564.71 is: 36,848.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,722.78 : 121,088.72 = 24,564.71 : x
  2. Step 2: Convert to fraction form
    80,722.78/121,088.72 = 24,564.71/x
  3. Step 3: Cross multiply
    80,722.78x = 121,088.72 × 24,564.71
  4. Step 4: Simplify right side
    80,722.78x = 2,974,509,470.97
  5. Step 5: Solve for x
    x = 2,974,509,470.97/80,722.78
  6. Step 6: Final answer
    x = 36,848.45

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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.