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Finding the Fourth Proportional to 89,432, 123,416.64 and 49,688

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Solution

The fourth proportional to 89,432, 123,416.64 and 49,688 is: 68,569.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,432 : 123,416.64 = 49,688 : x
  2. Step 2: Convert to fraction form
    89,432/123,416.64 = 49,688/x
  3. Step 3: Cross multiply
    89,432x = 123,416.64 × 49,688
  4. Step 4: Simplify right side
    89,432x = 6,132,326,008.32
  5. Step 5: Solve for x
    x = 6,132,326,008.32/89,432
  6. Step 6: Final answer
    x = 68,569.71

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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.