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Finding the Fourth Proportional to 55,704.80, 83,631.36 and 32,348

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Solution

The fourth proportional to 55,704.80, 83,631.36 and 32,348 is: 48,565.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,704.80 : 83,631.36 = 32,348 : x
  2. Step 2: Convert to fraction form
    55,704.80/83,631.36 = 32,348/x
  3. Step 3: Cross multiply
    55,704.80x = 83,631.36 × 32,348
  4. Step 4: Simplify right side
    55,704.80x = 2,705,307,233.28
  5. Step 5: Solve for x
    x = 2,705,307,233.28/55,704.80
  6. Step 6: Final answer
    x = 48,565.07

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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.