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Finding the Fourth Proportional to 50,725.83, 76,098.32 and 15,657.29

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Solution

The fourth proportional to 50,725.83, 76,098.32 and 15,657.29 is: 23,488.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,725.83 : 76,098.32 = 15,657.29 : x
  2. Step 2: Convert to fraction form
    50,725.83/76,098.32 = 15,657.29/x
  3. Step 3: Cross multiply
    50,725.83x = 76,098.32 × 15,657.29
  4. Step 4: Simplify right side
    50,725.83x = 1,191,493,005.97
  5. Step 5: Solve for x
    x = 1,191,493,005.97/50,725.83
  6. Step 6: Final answer
    x = 23,488.88

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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.