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Finding the Fourth Proportional to 71,205.53, 106,714.85 and 52,397.49

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Solution

The fourth proportional to 71,205.53, 106,714.85 and 52,397.49 is: 78,527.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,205.53 : 106,714.85 = 52,397.49 : x
  2. Step 2: Convert to fraction form
    71,205.53/106,714.85 = 52,397.49/x
  3. Step 3: Cross multiply
    71,205.53x = 106,714.85 × 52,397.49
  4. Step 4: Simplify right side
    71,205.53x = 5,591,590,423.92
  5. Step 5: Solve for x
    x = 5,591,590,423.92/71,205.53
  6. Step 6: Final answer
    x = 78,527.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.