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Finding the Fourth Proportional to 38,502.40, 57,753.60 and 30,726.40

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Solution

The fourth proportional to 38,502.40, 57,753.60 and 30,726.40 is: 46,089.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,502.40 : 57,753.60 = 30,726.40 : x
  2. Step 2: Convert to fraction form
    38,502.40/57,753.60 = 30,726.40/x
  3. Step 3: Cross multiply
    38,502.40x = 57,753.60 × 30,726.40
  4. Step 4: Simplify right side
    38,502.40x = 1,774,560,215.04
  5. Step 5: Solve for x
    x = 1,774,560,215.04/38,502.40
  6. Step 6: Final answer
    x = 46,089.60

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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.