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Finding the Fourth Proportional to 65,110.52, 97,633.47 and 20,731.49

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Solution

The fourth proportional to 65,110.52, 97,633.47 and 20,731.49 is: 31,086.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,110.52 : 97,633.47 = 20,731.49 : x
  2. Step 2: Convert to fraction form
    65,110.52/97,633.47 = 20,731.49/x
  3. Step 3: Cross multiply
    65,110.52x = 97,633.47 × 20,731.49
  4. Step 4: Simplify right side
    65,110.52x = 2,024,087,306.97
  5. Step 5: Solve for x
    x = 2,024,087,306.97/65,110.52
  6. Step 6: Final answer
    x = 31,086.95

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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.