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Finding the Fourth Proportional to 83,898.09, 125,847 and 57,522.87

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Solution

The fourth proportional to 83,898.09, 125,847 and 57,522.87 is: 86,284.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,898.09 : 125,847 = 57,522.87 : x
  2. Step 2: Convert to fraction form
    83,898.09/125,847 = 57,522.87/x
  3. Step 3: Cross multiply
    83,898.09x = 125,847 × 57,522.87
  4. Step 4: Simplify right side
    83,898.09x = 7,239,080,620.89
  5. Step 5: Solve for x
    x = 7,239,080,620.89/83,898.09
  6. Step 6: Final answer
    x = 86,284.21

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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.