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Finding the Fourth Proportional to 83,693.73, 125,526.74 and 27,534.53

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Solution

The fourth proportional to 83,693.73, 125,526.74 and 27,534.53 is: 41,297.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,693.73 : 125,526.74 = 27,534.53 : x
  2. Step 2: Convert to fraction form
    83,693.73/125,526.74 = 27,534.53/x
  3. Step 3: Cross multiply
    83,693.73x = 125,526.74 × 27,534.53
  4. Step 4: Simplify right side
    83,693.73x = 3,456,320,041.92
  5. Step 5: Solve for x
    x = 3,456,320,041.92/83,693.73
  6. Step 6: Final answer
    x = 41,297.24

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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.