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Finding the Fourth Proportional to 34,314.68, 51,472.56 and 13,538

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Solution

The fourth proportional to 34,314.68, 51,472.56 and 13,538 is: 20,307.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,314.68 : 51,472.56 = 13,538 : x
  2. Step 2: Convert to fraction form
    34,314.68/51,472.56 = 13,538/x
  3. Step 3: Cross multiply
    34,314.68x = 51,472.56 × 13,538
  4. Step 4: Simplify right side
    34,314.68x = 696,835,517.28
  5. Step 5: Solve for x
    x = 696,835,517.28/34,314.68
  6. Step 6: Final answer
    x = 20,307.21

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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.