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Finding the Fourth Proportional to 71,448.72, 107,135.15 and 24,048

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Solution

The fourth proportional to 71,448.72, 107,135.15 and 24,048 is: 36,059.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,448.72 : 107,135.15 = 24,048 : x
  2. Step 2: Convert to fraction form
    71,448.72/107,135.15 = 24,048/x
  3. Step 3: Cross multiply
    71,448.72x = 107,135.15 × 24,048
  4. Step 4: Simplify right side
    71,448.72x = 2,576,385,966.96
  5. Step 5: Solve for x
    x = 2,576,385,966.96/71,448.72
  6. Step 6: Final answer
    x = 36,059.23

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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.