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Finding the Fourth Proportional to 51,210, 70,689.24 and 34,452.72

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Solution

The fourth proportional to 51,210, 70,689.24 and 34,452.72 is: 47,557.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,210 : 70,689.24 = 34,452.72 : x
  2. Step 2: Convert to fraction form
    51,210/70,689.24 = 34,452.72/x
  3. Step 3: Cross multiply
    51,210x = 70,689.24 × 34,452.72
  4. Step 4: Simplify right side
    51,210x = 2,435,436,592.73
  5. Step 5: Solve for x
    x = 2,435,436,592.73/51,210
  6. Step 6: Final answer
    x = 47,557.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.