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Finding the Fourth Proportional to 65,308.62, 97,876.53 and 23,715.66

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Solution

The fourth proportional to 65,308.62, 97,876.53 and 23,715.66 is: 35,542.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,308.62 : 97,876.53 = 23,715.66 : x
  2. Step 2: Convert to fraction form
    65,308.62/97,876.53 = 23,715.66/x
  3. Step 3: Cross multiply
    65,308.62x = 97,876.53 × 23,715.66
  4. Step 4: Simplify right side
    65,308.62x = 2,321,206,507.46
  5. Step 5: Solve for x
    x = 2,321,206,507.46/65,308.62
  6. Step 6: Final answer
    x = 35,542.12

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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.