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Finding the Fourth Proportional to 55,348.30, 83,034.60 and 27,281.80

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Solution

The fourth proportional to 55,348.30, 83,034.60 and 27,281.80 is: 40,928.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,348.30 : 83,034.60 = 27,281.80 : x
  2. Step 2: Convert to fraction form
    55,348.30/83,034.60 = 27,281.80/x
  3. Step 3: Cross multiply
    55,348.30x = 83,034.60 × 27,281.80
  4. Step 4: Simplify right side
    55,348.30x = 2,265,333,350.28
  5. Step 5: Solve for x
    x = 2,265,333,350.28/55,348.30
  6. Step 6: Final answer
    x = 40,928.69

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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.