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Finding the Fourth Proportional to 187,876.64, 281,820 and 47,646.20

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Solution

The fourth proportional to 187,876.64, 281,820 and 47,646.20 is: 71,470.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,876.64 : 281,820 = 47,646.20 : x
  2. Step 2: Convert to fraction form
    187,876.64/281,820 = 47,646.20/x
  3. Step 3: Cross multiply
    187,876.64x = 281,820 × 47,646.20
  4. Step 4: Simplify right side
    187,876.64x = 13,427,652,084
  5. Step 5: Solve for x
    x = 13,427,652,084/187,876.64
  6. Step 6: Final answer
    x = 71,470.58

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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.