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Finding the Fourth Proportional to 83,131.52, 114,658 and 52,921.76

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Solution

The fourth proportional to 83,131.52, 114,658 and 52,921.76 is: 72,991.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,131.52 : 114,658 = 52,921.76 : x
  2. Step 2: Convert to fraction form
    83,131.52/114,658 = 52,921.76/x
  3. Step 3: Cross multiply
    83,131.52x = 114,658 × 52,921.76
  4. Step 4: Simplify right side
    83,131.52x = 6,067,903,158.08
  5. Step 5: Solve for x
    x = 6,067,903,158.08/83,131.52
  6. Step 6: Final answer
    x = 72,991.61

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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.