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Finding the Fourth Proportional to 65,401.92, 98,115.84 and 25,977.60

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Solution

The fourth proportional to 65,401.92, 98,115.84 and 25,977.60 is: 38,971.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,401.92 : 98,115.84 = 25,977.60 : x
  2. Step 2: Convert to fraction form
    65,401.92/98,115.84 = 25,977.60/x
  3. Step 3: Cross multiply
    65,401.92x = 98,115.84 × 25,977.60
  4. Step 4: Simplify right side
    65,401.92x = 2,548,814,045.18
  5. Step 5: Solve for x
    x = 2,548,814,045.18/65,401.92
  6. Step 6: Final answer
    x = 38,971.55

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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.