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Finding the Fourth Proportional to 52,140.38, 71,915.50 and 34,228.85

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Solution

The fourth proportional to 52,140.38, 71,915.50 and 34,228.85 is: 47,210.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,140.38 : 71,915.50 = 34,228.85 : x
  2. Step 2: Convert to fraction form
    52,140.38/71,915.50 = 34,228.85/x
  3. Step 3: Cross multiply
    52,140.38x = 71,915.50 × 34,228.85
  4. Step 4: Simplify right side
    52,140.38x = 2,461,584,767.96
  5. Step 5: Solve for x
    x = 2,461,584,767.96/52,140.38
  6. Step 6: Final answer
    x = 47,210.72

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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.