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Finding the Fourth Proportional to 65,187.80, 97,781.70 and 41,859.80

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Solution

The fourth proportional to 65,187.80, 97,781.70 and 41,859.80 is: 62,789.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,187.80 : 97,781.70 = 41,859.80 : x
  2. Step 2: Convert to fraction form
    65,187.80/97,781.70 = 41,859.80/x
  3. Step 3: Cross multiply
    65,187.80x = 97,781.70 × 41,859.80
  4. Step 4: Simplify right side
    65,187.80x = 4,093,122,405.66
  5. Step 5: Solve for x
    x = 4,093,122,405.66/65,187.80
  6. Step 6: Final answer
    x = 62,789.70

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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.