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Finding the Fourth Proportional to 57,993.75, 87,001.56 and 26,829

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Solution

The fourth proportional to 57,993.75, 87,001.56 and 26,829 is: 40,248.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,993.75 : 87,001.56 = 26,829 : x
  2. Step 2: Convert to fraction form
    57,993.75/87,001.56 = 26,829/x
  3. Step 3: Cross multiply
    57,993.75x = 87,001.56 × 26,829
  4. Step 4: Simplify right side
    57,993.75x = 2,334,164,853.24
  5. Step 5: Solve for x
    x = 2,334,164,853.24/57,993.75
  6. Step 6: Final answer
    x = 40,248.56

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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.