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Finding the Fourth Proportional to 52,113, 71,915.94 and 29,757

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Solution

The fourth proportional to 52,113, 71,915.94 and 29,757 is: 41,064.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,113 : 71,915.94 = 29,757 : x
  2. Step 2: Convert to fraction form
    52,113/71,915.94 = 29,757/x
  3. Step 3: Cross multiply
    52,113x = 71,915.94 × 29,757
  4. Step 4: Simplify right side
    52,113x = 2,140,002,626.58
  5. Step 5: Solve for x
    x = 2,140,002,626.58/52,113
  6. Step 6: Final answer
    x = 41,064.66

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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.