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Finding the Fourth Proportional to 65,031.98, 97,472.67 and 29,897.90

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Solution

The fourth proportional to 65,031.98, 97,472.67 and 29,897.90 is: 44,812.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,031.98 : 97,472.67 = 29,897.90 : x
  2. Step 2: Convert to fraction form
    65,031.98/97,472.67 = 29,897.90/x
  3. Step 3: Cross multiply
    65,031.98x = 97,472.67 × 29,897.90
  4. Step 4: Simplify right side
    65,031.98x = 2,914,228,140.39
  5. Step 5: Solve for x
    x = 2,914,228,140.39/65,031.98
  6. Step 6: Final answer
    x = 44,812.23

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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.