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Finding the Fourth Proportional to 92,411.57, 138,596.13 and 25,856.42

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Solution

The fourth proportional to 92,411.57, 138,596.13 and 25,856.42 is: 38,778.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,411.57 : 138,596.13 = 25,856.42 : x
  2. Step 2: Convert to fraction form
    92,411.57/138,596.13 = 25,856.42/x
  3. Step 3: Cross multiply
    92,411.57x = 138,596.13 × 25,856.42
  4. Step 4: Simplify right side
    92,411.57x = 3,583,599,054.67
  5. Step 5: Solve for x
    x = 3,583,599,054.67/92,411.57
  6. Step 6: Final answer
    x = 38,778.68

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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.