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Finding the Fourth Proportional to 32,987.72, 45,523.11 and 17,880.38

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Solution

The fourth proportional to 32,987.72, 45,523.11 and 17,880.38 is: 24,674.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,987.72 : 45,523.11 = 17,880.38 : x
  2. Step 2: Convert to fraction form
    32,987.72/45,523.11 = 17,880.38/x
  3. Step 3: Cross multiply
    32,987.72x = 45,523.11 × 17,880.38
  4. Step 4: Simplify right side
    32,987.72x = 813,970,505.58
  5. Step 5: Solve for x
    x = 813,970,505.58/32,987.72
  6. Step 6: Final answer
    x = 24,674.95

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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.