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Finding the Fourth Proportional to 82,902.30, 124,372.53 and 23,738.46

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Solution

The fourth proportional to 82,902.30, 124,372.53 and 23,738.46 is: 35,613.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,902.30 : 124,372.53 = 23,738.46 : x
  2. Step 2: Convert to fraction form
    82,902.30/124,372.53 = 23,738.46/x
  3. Step 3: Cross multiply
    82,902.30x = 124,372.53 × 23,738.46
  4. Step 4: Simplify right side
    82,902.30x = 2,952,412,328.50
  5. Step 5: Solve for x
    x = 2,952,412,328.50/82,902.30
  6. Step 6: Final answer
    x = 35,613.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.