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Finding the Fourth Proportional to 32,666, 45,079.08 and 17,762

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Solution

The fourth proportional to 32,666, 45,079.08 and 17,762 is: 24,511.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,666 : 45,079.08 = 17,762 : x
  2. Step 2: Convert to fraction form
    32,666/45,079.08 = 17,762/x
  3. Step 3: Cross multiply
    32,666x = 45,079.08 × 17,762
  4. Step 4: Simplify right side
    32,666x = 800,694,618.96
  5. Step 5: Solve for x
    x = 800,694,618.96/32,666
  6. Step 6: Final answer
    x = 24,511.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.