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Finding the Fourth Proportional to 71,506.59, 107,193.66 and 26,502.89

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Solution

The fourth proportional to 71,506.59, 107,193.66 and 26,502.89 is: 39,729.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,506.59 : 107,193.66 = 26,502.89 : x
  2. Step 2: Convert to fraction form
    71,506.59/107,193.66 = 26,502.89/x
  3. Step 3: Cross multiply
    71,506.59x = 107,193.66 × 26,502.89
  4. Step 4: Simplify right side
    71,506.59x = 2,840,941,243.71
  5. Step 5: Solve for x
    x = 2,840,941,243.71/71,506.59
  6. Step 6: Final answer
    x = 39,729.78

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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.