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Finding the Fourth Proportional to 83,782.56, 125,695.44 and 24,620.16

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Solution

The fourth proportional to 83,782.56, 125,695.44 and 24,620.16 is: 36,936.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,782.56 : 125,695.44 = 24,620.16 : x
  2. Step 2: Convert to fraction form
    83,782.56/125,695.44 = 24,620.16/x
  3. Step 3: Cross multiply
    83,782.56x = 125,695.44 × 24,620.16
  4. Step 4: Simplify right side
    83,782.56x = 3,094,641,844.07
  5. Step 5: Solve for x
    x = 3,094,641,844.07/83,782.56
  6. Step 6: Final answer
    x = 36,936.59

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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.