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Finding the Fourth Proportional to 65,061.96, 97,499.22 and 38,344.92

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Solution

The fourth proportional to 65,061.96, 97,499.22 and 38,344.92 is: 57,462.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,061.96 : 97,499.22 = 38,344.92 : x
  2. Step 2: Convert to fraction form
    65,061.96/97,499.22 = 38,344.92/x
  3. Step 3: Cross multiply
    65,061.96x = 97,499.22 × 38,344.92
  4. Step 4: Simplify right side
    65,061.96x = 3,738,599,790.96
  5. Step 5: Solve for x
    x = 3,738,599,790.96/65,061.96
  6. Step 6: Final answer
    x = 57,462.15

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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.