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Finding the Fourth Proportional to 55,241.66, 82,798.20 and 31,565.80

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Solution

The fourth proportional to 55,241.66, 82,798.20 and 31,565.80 is: 47,311.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,241.66 : 82,798.20 = 31,565.80 : x
  2. Step 2: Convert to fraction form
    55,241.66/82,798.20 = 31,565.80/x
  3. Step 3: Cross multiply
    55,241.66x = 82,798.20 × 31,565.80
  4. Step 4: Simplify right side
    55,241.66x = 2,613,591,525.06
  5. Step 5: Solve for x
    x = 2,613,591,525.06/55,241.66
  6. Step 6: Final answer
    x = 47,311.96

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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.