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Finding the Fourth Proportional to 65,778.78, 98,707.05 and 24,254.94

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Solution

The fourth proportional to 65,778.78, 98,707.05 and 24,254.94 is: 36,396.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,778.78 : 98,707.05 = 24,254.94 : x
  2. Step 2: Convert to fraction form
    65,778.78/98,707.05 = 24,254.94/x
  3. Step 3: Cross multiply
    65,778.78x = 98,707.05 × 24,254.94
  4. Step 4: Simplify right side
    65,778.78x = 2,394,133,575.33
  5. Step 5: Solve for x
    x = 2,394,133,575.33/65,778.78
  6. Step 6: Final answer
    x = 36,396.75

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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.