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Finding the Fourth Proportional to 71,639.28, 107,460 and 24,893.28

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Solution

The fourth proportional to 71,639.28, 107,460 and 24,893.28 is: 37,340.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,639.28 : 107,460 = 24,893.28 : x
  2. Step 2: Convert to fraction form
    71,639.28/107,460 = 24,893.28/x
  3. Step 3: Cross multiply
    71,639.28x = 107,460 × 24,893.28
  4. Step 4: Simplify right side
    71,639.28x = 2,675,031,868.80
  5. Step 5: Solve for x
    x = 2,675,031,868.80/71,639.28
  6. Step 6: Final answer
    x = 37,340.30

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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.