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Finding the Fourth Proportional to 32,899, 45,400.98 and 17,995

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Solution

The fourth proportional to 32,899, 45,400.98 and 17,995 is: 24,833.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,899 : 45,400.98 = 17,995 : x
  2. Step 2: Convert to fraction form
    32,899/45,400.98 = 17,995/x
  3. Step 3: Cross multiply
    32,899x = 45,400.98 × 17,995
  4. Step 4: Simplify right side
    32,899x = 816,990,635.10
  5. Step 5: Solve for x
    x = 816,990,635.10/32,899
  6. Step 6: Final answer
    x = 24,833.30

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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.