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Finding the Fourth Proportional to 71,890.43, 107,830.42 and 24,501.59

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Solution

The fourth proportional to 71,890.43, 107,830.42 and 24,501.59 is: 36,750.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,890.43 : 107,830.42 = 24,501.59 : x
  2. Step 2: Convert to fraction form
    71,890.43/107,830.42 = 24,501.59/x
  3. Step 3: Cross multiply
    71,890.43x = 107,830.42 × 24,501.59
  4. Step 4: Simplify right side
    71,890.43x = 2,642,016,740.37
  5. Step 5: Solve for x
    x = 2,642,016,740.37/71,890.43
  6. Step 6: Final answer
    x = 36,750.60

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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.