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Finding the Fourth Proportional to 55,241.60, 82,862.40 and 50,964.80

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Solution

The fourth proportional to 55,241.60, 82,862.40 and 50,964.80 is: 76,447.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,241.60 : 82,862.40 = 50,964.80 : x
  2. Step 2: Convert to fraction form
    55,241.60/82,862.40 = 50,964.80/x
  3. Step 3: Cross multiply
    55,241.60x = 82,862.40 × 50,964.80
  4. Step 4: Simplify right side
    55,241.60x = 4,223,065,643.52
  5. Step 5: Solve for x
    x = 4,223,065,643.52/55,241.60
  6. Step 6: Final answer
    x = 76,447.20

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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.