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Finding the Fourth Proportional to 32,166, 48,215.88 and 18,132.48

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Solution

The fourth proportional to 32,166, 48,215.88 and 18,132.48 is: 27,180.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,166 : 48,215.88 = 18,132.48 : x
  2. Step 2: Convert to fraction form
    32,166/48,215.88 = 18,132.48/x
  3. Step 3: Cross multiply
    32,166x = 48,215.88 × 18,132.48
  4. Step 4: Simplify right side
    32,166x = 874,273,479.78
  5. Step 5: Solve for x
    x = 874,273,479.78/32,166
  6. Step 6: Final answer
    x = 27,180.05

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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.