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Finding the Fourth Proportional to 57,781.06, 86,600.70 and 32,842

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Solution

The fourth proportional to 57,781.06, 86,600.70 and 32,842 is: 49,222.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,781.06 : 86,600.70 = 32,842 : x
  2. Step 2: Convert to fraction form
    57,781.06/86,600.70 = 32,842/x
  3. Step 3: Cross multiply
    57,781.06x = 86,600.70 × 32,842
  4. Step 4: Simplify right side
    57,781.06x = 2,844,140,189.40
  5. Step 5: Solve for x
    x = 2,844,140,189.40/57,781.06
  6. Step 6: Final answer
    x = 49,222.71

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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.