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Finding the Fourth Proportional to 34,298.11, 51,704.22 and 32,012

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Solution

The fourth proportional to 34,298.11, 51,704.22 and 32,012 is: 48,257.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,298.11 : 51,704.22 = 32,012 : x
  2. Step 2: Convert to fraction form
    34,298.11/51,704.22 = 32,012/x
  3. Step 3: Cross multiply
    34,298.11x = 51,704.22 × 32,012
  4. Step 4: Simplify right side
    34,298.11x = 1,655,155,330.58
  5. Step 5: Solve for x
    x = 1,655,155,330.58/34,298.11
  6. Step 6: Final answer
    x = 48,257.92

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.