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Finding the Fourth Proportional to 45,658.64, 68,489.88 and 15,693.44

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Solution

The fourth proportional to 45,658.64, 68,489.88 and 15,693.44 is: 23,540.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,658.64 : 68,489.88 = 15,693.44 : x
  2. Step 2: Convert to fraction form
    45,658.64/68,489.88 = 15,693.44/x
  3. Step 3: Cross multiply
    45,658.64x = 68,489.88 × 15,693.44
  4. Step 4: Simplify right side
    45,658.64x = 1,074,841,822.39
  5. Step 5: Solve for x
    x = 1,074,841,822.39/45,658.64
  6. Step 6: Final answer
    x = 23,540.82

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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.