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Finding the Fourth Proportional to 68,512.50, 102,741.48 and 26,369.10

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Solution

The fourth proportional to 68,512.50, 102,741.48 and 26,369.10 is: 39,543.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,512.50 : 102,741.48 = 26,369.10 : x
  2. Step 2: Convert to fraction form
    68,512.50/102,741.48 = 26,369.10/x
  3. Step 3: Cross multiply
    68,512.50x = 102,741.48 × 26,369.10
  4. Step 4: Simplify right side
    68,512.50x = 2,709,200,360.27
  5. Step 5: Solve for x
    x = 2,709,200,360.27/68,512.50
  6. Step 6: Final answer
    x = 39,543.15

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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.