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Finding the Fourth Proportional to 38,149.60, 57,229.80 and 11,851.60

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Solution

The fourth proportional to 38,149.60, 57,229.80 and 11,851.60 is: 17,779.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,149.60 : 57,229.80 = 11,851.60 : x
  2. Step 2: Convert to fraction form
    38,149.60/57,229.80 = 11,851.60/x
  3. Step 3: Cross multiply
    38,149.60x = 57,229.80 × 11,851.60
  4. Step 4: Simplify right side
    38,149.60x = 678,264,697.68
  5. Step 5: Solve for x
    x = 678,264,697.68/38,149.60
  6. Step 6: Final answer
    x = 17,779.08

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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.