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Finding the Fourth Proportional to 65,235.78, 97,850.52 and 38,233.14

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Solution

The fourth proportional to 65,235.78, 97,850.52 and 38,233.14 is: 57,347.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,235.78 : 97,850.52 = 38,233.14 : x
  2. Step 2: Convert to fraction form
    65,235.78/97,850.52 = 38,233.14/x
  3. Step 3: Cross multiply
    65,235.78x = 97,850.52 × 38,233.14
  4. Step 4: Simplify right side
    65,235.78x = 3,741,132,630.23
  5. Step 5: Solve for x
    x = 3,741,132,630.23/65,235.78
  6. Step 6: Final answer
    x = 57,347.86

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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.