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Finding the Fourth Proportional to 38,349.48, 57,416.07 and 20,296.81

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Solution

The fourth proportional to 38,349.48, 57,416.07 and 20,296.81 is: 30,387.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,349.48 : 57,416.07 = 20,296.81 : x
  2. Step 2: Convert to fraction form
    38,349.48/57,416.07 = 20,296.81/x
  3. Step 3: Cross multiply
    38,349.48x = 57,416.07 × 20,296.81
  4. Step 4: Simplify right side
    38,349.48x = 1,165,363,063.74
  5. Step 5: Solve for x
    x = 1,165,363,063.74/38,349.48
  6. Step 6: Final answer
    x = 30,387.98

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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.