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Finding the Fourth Proportional to 67,654.98, 101,371.67 and 36,031.47

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Solution

The fourth proportional to 67,654.98, 101,371.67 and 36,031.47 is: 53,988.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,654.98 : 101,371.67 = 36,031.47 : x
  2. Step 2: Convert to fraction form
    67,654.98/101,371.67 = 36,031.47/x
  3. Step 3: Cross multiply
    67,654.98x = 101,371.67 × 36,031.47
  4. Step 4: Simplify right side
    67,654.98x = 3,652,570,106.30
  5. Step 5: Solve for x
    x = 3,652,570,106.30/67,654.98
  6. Step 6: Final answer
    x = 53,988.19

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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.