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Finding the Fourth Proportional to 55,488.80, 83,233.20 and 32,175.20

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Solution

The fourth proportional to 55,488.80, 83,233.20 and 32,175.20 is: 48,262.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,488.80 : 83,233.20 = 32,175.20 : x
  2. Step 2: Convert to fraction form
    55,488.80/83,233.20 = 32,175.20/x
  3. Step 3: Cross multiply
    55,488.80x = 83,233.20 × 32,175.20
  4. Step 4: Simplify right side
    55,488.80x = 2,678,044,856.64
  5. Step 5: Solve for x
    x = 2,678,044,856.64/55,488.80
  6. Step 6: Final answer
    x = 48,262.80

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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.