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Finding the Fourth Proportional to 83,693.85, 125,527 and 27,534.66

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Solution

The fourth proportional to 83,693.85, 125,527 and 27,534.66 is: 41,297.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,693.85 : 125,527 = 27,534.66 : x
  2. Step 2: Convert to fraction form
    83,693.85/125,527 = 27,534.66/x
  3. Step 3: Cross multiply
    83,693.85x = 125,527 × 27,534.66
  4. Step 4: Simplify right side
    83,693.85x = 3,456,343,265.82
  5. Step 5: Solve for x
    x = 3,456,343,265.82/83,693.85
  6. Step 6: Final answer
    x = 41,297.46

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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.