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Finding the Fourth Proportional to 65,150.66, 97,738.14 and 29,614.52

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Solution

The fourth proportional to 65,150.66, 97,738.14 and 29,614.52 is: 44,427.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,150.66 : 97,738.14 = 29,614.52 : x
  2. Step 2: Convert to fraction form
    65,150.66/97,738.14 = 29,614.52/x
  3. Step 3: Cross multiply
    65,150.66x = 97,738.14 × 29,614.52
  4. Step 4: Simplify right side
    65,150.66x = 2,894,468,101.79
  5. Step 5: Solve for x
    x = 2,894,468,101.79/65,150.66
  6. Step 6: Final answer
    x = 44,427.30

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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.