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Finding the Fourth Proportional to 57,780.60, 86,699.70 and 32,839.80

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Solution

The fourth proportional to 57,780.60, 86,699.70 and 32,839.80 is: 49,276.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,780.60 : 86,699.70 = 32,839.80 : x
  2. Step 2: Convert to fraction form
    57,780.60/86,699.70 = 32,839.80/x
  3. Step 3: Cross multiply
    57,780.60x = 86,699.70 × 32,839.80
  4. Step 4: Simplify right side
    57,780.60x = 2,847,200,808.06
  5. Step 5: Solve for x
    x = 2,847,200,808.06/57,780.60
  6. Step 6: Final answer
    x = 49,276.07

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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.