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Finding the Fourth Proportional to 64,105.76, 96,117 and 26,691.44

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Solution

The fourth proportional to 64,105.76, 96,117 and 26,691.44 is: 40,019.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,105.76 : 96,117 = 26,691.44 : x
  2. Step 2: Convert to fraction form
    64,105.76/96,117 = 26,691.44/x
  3. Step 3: Cross multiply
    64,105.76x = 96,117 × 26,691.44
  4. Step 4: Simplify right side
    64,105.76x = 2,565,501,138.48
  5. Step 5: Solve for x
    x = 2,565,501,138.48/64,105.76
  6. Step 6: Final answer
    x = 40,019.82

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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.