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Finding the Fourth Proportional to 71,424.26, 107,145.54 and 24,019.04

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Solution

The fourth proportional to 71,424.26, 107,145.54 and 24,019.04 is: 36,031.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,424.26 : 107,145.54 = 24,019.04 : x
  2. Step 2: Convert to fraction form
    71,424.26/107,145.54 = 24,019.04/x
  3. Step 3: Cross multiply
    71,424.26x = 107,145.54 × 24,019.04
  4. Step 4: Simplify right side
    71,424.26x = 2,573,533,011.08
  5. Step 5: Solve for x
    x = 2,573,533,011.08/71,424.26
  6. Step 6: Final answer
    x = 36,031.64

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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.