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Finding the Fourth Proportional to 38,134.40, 57,147.03 and 21,459.47

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Solution

The fourth proportional to 38,134.40, 57,147.03 and 21,459.47 is: 32,158.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,134.40 : 57,147.03 = 21,459.47 : x
  2. Step 2: Convert to fraction form
    38,134.40/57,147.03 = 21,459.47/x
  3. Step 3: Cross multiply
    38,134.40x = 57,147.03 × 21,459.47
  4. Step 4: Simplify right side
    38,134.40x = 1,226,344,690.14
  5. Step 5: Solve for x
    x = 1,226,344,690.14/38,134.40
  6. Step 6: Final answer
    x = 32,158.49

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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.