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Finding the Fourth Proportional to 60,234, 83,120.68 and 34,741.42

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Solution

The fourth proportional to 60,234, 83,120.68 and 34,741.42 is: 47,941.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,234 : 83,120.68 = 34,741.42 : x
  2. Step 2: Convert to fraction form
    60,234/83,120.68 = 34,741.42/x
  3. Step 3: Cross multiply
    60,234x = 83,120.68 × 34,741.42
  4. Step 4: Simplify right side
    60,234x = 2,887,730,454.57
  5. Step 5: Solve for x
    x = 2,887,730,454.57/60,234
  6. Step 6: Final answer
    x = 47,941.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.