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Finding the Fourth Proportional to 38,378.90, 57,564.34 and 10,301.96

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Solution

The fourth proportional to 38,378.90, 57,564.34 and 10,301.96 is: 15,451.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,378.90 : 57,564.34 = 10,301.96 : x
  2. Step 2: Convert to fraction form
    38,378.90/57,564.34 = 10,301.96/x
  3. Step 3: Cross multiply
    38,378.90x = 57,564.34 × 10,301.96
  4. Step 4: Simplify right side
    38,378.90x = 593,025,528.11
  5. Step 5: Solve for x
    x = 593,025,528.11/38,378.90
  6. Step 6: Final answer
    x = 15,451.86

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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.