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Finding the Fourth Proportional to 70,982.61, 97,956.29 and 39,151.44

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Solution

The fourth proportional to 70,982.61, 97,956.29 and 39,151.44 is: 54,029.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,982.61 : 97,956.29 = 39,151.44 : x
  2. Step 2: Convert to fraction form
    70,982.61/97,956.29 = 39,151.44/x
  3. Step 3: Cross multiply
    70,982.61x = 97,956.29 × 39,151.44
  4. Step 4: Simplify right side
    70,982.61x = 3,835,129,614.80
  5. Step 5: Solve for x
    x = 3,835,129,614.80/70,982.61
  6. Step 6: Final answer
    x = 54,029.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.