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Finding the Fourth Proportional to 38,352, 57,462.48 and 27,203.52

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Solution

The fourth proportional to 38,352, 57,462.48 and 27,203.52 is: 40,758.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,352 : 57,462.48 = 27,203.52 : x
  2. Step 2: Convert to fraction form
    38,352/57,462.48 = 27,203.52/x
  3. Step 3: Cross multiply
    38,352x = 57,462.48 × 27,203.52
  4. Step 4: Simplify right side
    38,352x = 1,563,181,723.93
  5. Step 5: Solve for x
    x = 1,563,181,723.93/38,352
  6. Step 6: Final answer
    x = 40,758.81

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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.