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Finding the Fourth Proportional to 65,151.41, 97,747.88 and 29,122.31

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Solution

The fourth proportional to 65,151.41, 97,747.88 and 29,122.31 is: 43,692.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,151.41 : 97,747.88 = 29,122.31 : x
  2. Step 2: Convert to fraction form
    65,151.41/97,747.88 = 29,122.31/x
  3. Step 3: Cross multiply
    65,151.41x = 97,747.88 × 29,122.31
  4. Step 4: Simplify right side
    65,151.41x = 2,846,643,428.85
  5. Step 5: Solve for x
    x = 2,846,643,428.85/65,151.41
  6. Step 6: Final answer
    x = 43,692.74

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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.