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Finding the Fourth Proportional to 65,874.38, 98,824.05 and 26,434.60

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Solution

The fourth proportional to 65,874.38, 98,824.05 and 26,434.60 is: 39,656.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,874.38 : 98,824.05 = 26,434.60 : x
  2. Step 2: Convert to fraction form
    65,874.38/98,824.05 = 26,434.60/x
  3. Step 3: Cross multiply
    65,874.38x = 98,824.05 × 26,434.60
  4. Step 4: Simplify right side
    65,874.38x = 2,612,373,985.07
  5. Step 5: Solve for x
    x = 2,612,373,985.07/65,874.38
  6. Step 6: Final answer
    x = 39,656.91

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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.