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Finding the Fourth Proportional to 37,507.50, 56,217.42 and 20,859.66

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Solution

The fourth proportional to 37,507.50, 56,217.42 and 20,859.66 is: 31,265.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,507.50 : 56,217.42 = 20,859.66 : x
  2. Step 2: Convert to fraction form
    37,507.50/56,217.42 = 20,859.66/x
  3. Step 3: Cross multiply
    37,507.50x = 56,217.42 × 20,859.66
  4. Step 4: Simplify right side
    37,507.50x = 1,172,676,267.28
  5. Step 5: Solve for x
    x = 1,172,676,267.28/37,507.50
  6. Step 6: Final answer
    x = 31,265.11

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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.