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Finding the Fourth Proportional to 71,652.36, 107,488.26 and 24,899.16

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Solution

The fourth proportional to 71,652.36, 107,488.26 and 24,899.16 is: 37,352.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,652.36 : 107,488.26 = 24,899.16 : x
  2. Step 2: Convert to fraction form
    71,652.36/107,488.26 = 24,899.16/x
  3. Step 3: Cross multiply
    71,652.36x = 107,488.26 × 24,899.16
  4. Step 4: Simplify right side
    71,652.36x = 2,676,367,383.86
  5. Step 5: Solve for x
    x = 2,676,367,383.86/71,652.36
  6. Step 6: Final answer
    x = 37,352.12

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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.