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Finding the Fourth Proportional to 49,681.92, 68,566.08 and 28,464

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Solution

The fourth proportional to 49,681.92, 68,566.08 and 28,464 is: 39,283.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,681.92 : 68,566.08 = 28,464 : x
  2. Step 2: Convert to fraction form
    49,681.92/68,566.08 = 28,464/x
  3. Step 3: Cross multiply
    49,681.92x = 68,566.08 × 28,464
  4. Step 4: Simplify right side
    49,681.92x = 1,951,664,901.12
  5. Step 5: Solve for x
    x = 1,951,664,901.12/49,681.92
  6. Step 6: Final answer
    x = 39,283.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.