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Finding the Fourth Proportional to 65,794.78, 98,691.25 and 15,874.46

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Solution

The fourth proportional to 65,794.78, 98,691.25 and 15,874.46 is: 23,811.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,794.78 : 98,691.25 = 15,874.46 : x
  2. Step 2: Convert to fraction form
    65,794.78/98,691.25 = 15,874.46/x
  3. Step 3: Cross multiply
    65,794.78x = 98,691.25 × 15,874.46
  4. Step 4: Simplify right side
    65,794.78x = 1,566,669,807.02
  5. Step 5: Solve for x
    x = 1,566,669,807.02/65,794.78
  6. Step 6: Final answer
    x = 23,811.46

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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.