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Finding the Fourth Proportional to 71,814.01, 107,733.85 and 24,426.68

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Solution

The fourth proportional to 71,814.01, 107,733.85 and 24,426.68 is: 36,644.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,814.01 : 107,733.85 = 24,426.68 : x
  2. Step 2: Convert to fraction form
    71,814.01/107,733.85 = 24,426.68/x
  3. Step 3: Cross multiply
    71,814.01x = 107,733.85 × 24,426.68
  4. Step 4: Simplify right side
    71,814.01x = 2,631,580,285.38
  5. Step 5: Solve for x
    x = 2,631,580,285.38/71,814.01
  6. Step 6: Final answer
    x = 36,644.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.