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Finding the Fourth Proportional to 125,218.68, 187,827.72 and 31,724.16

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Solution

The fourth proportional to 125,218.68, 187,827.72 and 31,724.16 is: 47,586.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,218.68 : 187,827.72 = 31,724.16 : x
  2. Step 2: Convert to fraction form
    125,218.68/187,827.72 = 31,724.16/x
  3. Step 3: Cross multiply
    125,218.68x = 187,827.72 × 31,724.16
  4. Step 4: Simplify right side
    125,218.68x = 5,958,676,641.72
  5. Step 5: Solve for x
    x = 5,958,676,641.72/125,218.68
  6. Step 6: Final answer
    x = 47,586.16

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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.