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Finding the Fourth Proportional to 81,088.32, 121,632.48 and 25,680

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Solution

The fourth proportional to 81,088.32, 121,632.48 and 25,680 is: 38,520

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,088.32 : 121,632.48 = 25,680 : x
  2. Step 2: Convert to fraction form
    81,088.32/121,632.48 = 25,680/x
  3. Step 3: Cross multiply
    81,088.32x = 121,632.48 × 25,680
  4. Step 4: Simplify right side
    81,088.32x = 3,123,522,086.40
  5. Step 5: Solve for x
    x = 3,123,522,086.40/81,088.32
  6. Step 6: Final answer
    x = 38,520

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.