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Finding the Fourth Proportional to 34,078.66, 51,139.24 and 13,020.58

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Solution

The fourth proportional to 34,078.66, 51,139.24 and 13,020.58 is: 19,538.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,078.66 : 51,139.24 = 13,020.58 : x
  2. Step 2: Convert to fraction form
    34,078.66/51,139.24 = 13,020.58/x
  3. Step 3: Cross multiply
    34,078.66x = 51,139.24 × 13,020.58
  4. Step 4: Simplify right side
    34,078.66x = 665,862,565.56
  5. Step 5: Solve for x
    x = 665,862,565.56/34,078.66
  6. Step 6: Final answer
    x = 19,538.99

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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.