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Finding the Fourth Proportional to 71,704.74, 107,574.12 and 24,318.93

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Solution

The fourth proportional to 71,704.74, 107,574.12 and 24,318.93 is: 36,484.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,704.74 : 107,574.12 = 24,318.93 : x
  2. Step 2: Convert to fraction form
    71,704.74/107,574.12 = 24,318.93/x
  3. Step 3: Cross multiply
    71,704.74x = 107,574.12 × 24,318.93
  4. Step 4: Simplify right side
    71,704.74x = 2,616,087,494.09
  5. Step 5: Solve for x
    x = 2,616,087,494.09/71,704.74
  6. Step 6: Final answer
    x = 36,484.16

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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.