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Finding the Fourth Proportional to 53,432.65, 80,167.56 and 20,162.31

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Solution

The fourth proportional to 53,432.65, 80,167.56 and 20,162.31 is: 30,250.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,432.65 : 80,167.56 = 20,162.31 : x
  2. Step 2: Convert to fraction form
    53,432.65/80,167.56 = 20,162.31/x
  3. Step 3: Cross multiply
    53,432.65x = 80,167.56 × 20,162.31
  4. Step 4: Simplify right side
    53,432.65x = 1,616,363,196.66
  5. Step 5: Solve for x
    x = 1,616,363,196.66/53,432.65
  6. Step 6: Final answer
    x = 30,250.48

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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.