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Finding the Fourth Proportional to 32,983.01, 45,517.11 and 17,876.16

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Solution

The fourth proportional to 32,983.01, 45,517.11 and 17,876.16 is: 24,669.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,983.01 : 45,517.11 = 17,876.16 : x
  2. Step 2: Convert to fraction form
    32,983.01/45,517.11 = 17,876.16/x
  3. Step 3: Cross multiply
    32,983.01x = 45,517.11 × 17,876.16
  4. Step 4: Simplify right side
    32,983.01x = 813,670,824.13
  5. Step 5: Solve for x
    x = 813,670,824.13/32,983.01
  6. Step 6: Final answer
    x = 24,669.39

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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.