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Finding the Fourth Proportional to 55,475.60, 83,164.80 and 33,265.40

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Solution

The fourth proportional to 55,475.60, 83,164.80 and 33,265.40 is: 49,868.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,475.60 : 83,164.80 = 33,265.40 : x
  2. Step 2: Convert to fraction form
    55,475.60/83,164.80 = 33,265.40/x
  3. Step 3: Cross multiply
    55,475.60x = 83,164.80 × 33,265.40
  4. Step 4: Simplify right side
    55,475.60x = 2,766,510,337.92
  5. Step 5: Solve for x
    x = 2,766,510,337.92/55,475.60
  6. Step 6: Final answer
    x = 49,868.96

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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.