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Finding the Fourth Proportional to 38,301.60, 57,452.40 and 12,006.30

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Solution

The fourth proportional to 38,301.60, 57,452.40 and 12,006.30 is: 18,009.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,301.60 : 57,452.40 = 12,006.30 : x
  2. Step 2: Convert to fraction form
    38,301.60/57,452.40 = 12,006.30/x
  3. Step 3: Cross multiply
    38,301.60x = 57,452.40 × 12,006.30
  4. Step 4: Simplify right side
    38,301.60x = 689,790,750.12
  5. Step 5: Solve for x
    x = 689,790,750.12/38,301.60
  6. Step 6: Final answer
    x = 18,009.45

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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.