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Finding the Fourth Proportional to 38,414.60, 53,010.90 and 23,510.60

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Solution

The fourth proportional to 38,414.60, 53,010.90 and 23,510.60 is: 32,443.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,414.60 : 53,010.90 = 23,510.60 : x
  2. Step 2: Convert to fraction form
    38,414.60/53,010.90 = 23,510.60/x
  3. Step 3: Cross multiply
    38,414.60x = 53,010.90 × 23,510.60
  4. Step 4: Simplify right side
    38,414.60x = 1,246,318,065.54
  5. Step 5: Solve for x
    x = 1,246,318,065.54/38,414.60
  6. Step 6: Final answer
    x = 32,443.86

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Why These Related Problems?

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