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Finding the Fourth Proportional to 71,526.44, 107,294.46 and 18,935.24

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Solution

The fourth proportional to 71,526.44, 107,294.46 and 18,935.24 is: 28,404.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,526.44 : 107,294.46 = 18,935.24 : x
  2. Step 2: Convert to fraction form
    71,526.44/107,294.46 = 18,935.24/x
  3. Step 3: Cross multiply
    71,526.44x = 107,294.46 × 18,935.24
  4. Step 4: Simplify right side
    71,526.44x = 2,031,646,350.77
  5. Step 5: Solve for x
    x = 2,031,646,350.77/71,526.44
  6. Step 6: Final answer
    x = 28,404.13

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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.