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Finding the Fourth Proportional to 34,101.08, 51,139.60 and 13,047

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Solution

The fourth proportional to 34,101.08, 51,139.60 and 13,047 is: 19,565.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,101.08 : 51,139.60 = 13,047 : x
  2. Step 2: Convert to fraction form
    34,101.08/51,139.60 = 13,047/x
  3. Step 3: Cross multiply
    34,101.08x = 51,139.60 × 13,047
  4. Step 4: Simplify right side
    34,101.08x = 667,218,361.20
  5. Step 5: Solve for x
    x = 667,218,361.20/34,101.08
  6. Step 6: Final answer
    x = 19,565.90

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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.