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Finding the Fourth Proportional to 71,034.64, 106,530.74 and 58,523.64

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Solution

The fourth proportional to 71,034.64, 106,530.74 and 58,523.64 is: 87,767.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,034.64 : 106,530.74 = 58,523.64 : x
  2. Step 2: Convert to fraction form
    71,034.64/106,530.74 = 58,523.64/x
  3. Step 3: Cross multiply
    71,034.64x = 106,530.74 × 58,523.64
  4. Step 4: Simplify right side
    71,034.64x = 6,234,566,676.69
  5. Step 5: Solve for x
    x = 6,234,566,676.69/71,034.64
  6. Step 6: Final answer
    x = 87,767.98

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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.