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Finding the Fourth Proportional to 73,333.80, 109,806.30 and 57,781.80

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Solution

The fourth proportional to 73,333.80, 109,806.30 and 57,781.80 is: 86,519.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,333.80 : 109,806.30 = 57,781.80 : x
  2. Step 2: Convert to fraction form
    73,333.80/109,806.30 = 57,781.80/x
  3. Step 3: Cross multiply
    73,333.80x = 109,806.30 × 57,781.80
  4. Step 4: Simplify right side
    73,333.80x = 6,344,805,665.34
  5. Step 5: Solve for x
    x = 6,344,805,665.34/73,333.80
  6. Step 6: Final answer
    x = 86,519.53

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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.