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Finding the Fourth Proportional to 32,089.38, 44,287.47 and 17,943

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Solution

The fourth proportional to 32,089.38, 44,287.47 and 17,943 is: 24,763.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,089.38 : 44,287.47 = 17,943 : x
  2. Step 2: Convert to fraction form
    32,089.38/44,287.47 = 17,943/x
  3. Step 3: Cross multiply
    32,089.38x = 44,287.47 × 17,943
  4. Step 4: Simplify right side
    32,089.38x = 794,650,074.21
  5. Step 5: Solve for x
    x = 794,650,074.21/32,089.38
  6. Step 6: Final answer
    x = 24,763.65

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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.