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Finding the Fourth Proportional to 83,614.88, 125,434.08 and 24,455

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Solution

The fourth proportional to 83,614.88, 125,434.08 and 24,455 is: 36,685.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,614.88 : 125,434.08 = 24,455 : x
  2. Step 2: Convert to fraction form
    83,614.88/125,434.08 = 24,455/x
  3. Step 3: Cross multiply
    83,614.88x = 125,434.08 × 24,455
  4. Step 4: Simplify right side
    83,614.88x = 3,067,490,426.40
  5. Step 5: Solve for x
    x = 3,067,490,426.40/83,614.88
  6. Step 6: Final answer
    x = 36,685.94

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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.