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Finding the Fourth Proportional to 51,254.29, 70,732.67 and 29,742.38

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Solution

The fourth proportional to 51,254.29, 70,732.67 and 29,742.38 is: 41,045.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,254.29 : 70,732.67 = 29,742.38 : x
  2. Step 2: Convert to fraction form
    51,254.29/70,732.67 = 29,742.38/x
  3. Step 3: Cross multiply
    51,254.29x = 70,732.67 × 29,742.38
  4. Step 4: Simplify right side
    51,254.29x = 2,103,757,949.55
  5. Step 5: Solve for x
    x = 2,103,757,949.55/51,254.29
  6. Step 6: Final answer
    x = 41,045.50

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Why These Related Problems?

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