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Finding the Fourth Proportional to 51,877.65, 77,757.44 and 31,569.61

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Solution

The fourth proportional to 51,877.65, 77,757.44 and 31,569.61 is: 47,318.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,877.65 : 77,757.44 = 31,569.61 : x
  2. Step 2: Convert to fraction form
    51,877.65/77,757.44 = 31,569.61/x
  3. Step 3: Cross multiply
    51,877.65x = 77,757.44 × 31,569.61
  4. Step 4: Simplify right side
    51,877.65x = 2,454,772,513.97
  5. Step 5: Solve for x
    x = 2,454,772,513.97/51,877.65
  6. Step 6: Final answer
    x = 47,318.50

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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.