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Finding the Fourth Proportional to 55,846.80, 83,743.80 and 32,480.40

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Solution

The fourth proportional to 55,846.80, 83,743.80 and 32,480.40 is: 48,705.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,846.80 : 83,743.80 = 32,480.40 : x
  2. Step 2: Convert to fraction form
    55,846.80/83,743.80 = 32,480.40/x
  3. Step 3: Cross multiply
    55,846.80x = 83,743.80 × 32,480.40
  4. Step 4: Simplify right side
    55,846.80x = 2,720,032,121.52
  5. Step 5: Solve for x
    x = 2,720,032,121.52/55,846.80
  6. Step 6: Final answer
    x = 48,705.25

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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.