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Finding the Fourth Proportional to 53,870.98, 80,756.58 and 27,517.60

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Solution

The fourth proportional to 53,870.98, 80,756.58 and 27,517.60 is: 41,250.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,870.98 : 80,756.58 = 27,517.60 : x
  2. Step 2: Convert to fraction form
    53,870.98/80,756.58 = 27,517.60/x
  3. Step 3: Cross multiply
    53,870.98x = 80,756.58 × 27,517.60
  4. Step 4: Simplify right side
    53,870.98x = 2,222,227,265.81
  5. Step 5: Solve for x
    x = 2,222,227,265.81/53,870.98
  6. Step 6: Final answer
    x = 41,250.92

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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.