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Finding the Fourth Proportional to 55,282.60, 83,010.30 and 31,954.60

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Solution

The fourth proportional to 55,282.60, 83,010.30 and 31,954.60 is: 47,981.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,282.60 : 83,010.30 = 31,954.60 : x
  2. Step 2: Convert to fraction form
    55,282.60/83,010.30 = 31,954.60/x
  3. Step 3: Cross multiply
    55,282.60x = 83,010.30 × 31,954.60
  4. Step 4: Simplify right side
    55,282.60x = 2,652,560,932.38
  5. Step 5: Solve for x
    x = 2,652,560,932.38/55,282.60
  6. Step 6: Final answer
    x = 47,981.84

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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.