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Finding the Fourth Proportional to 32,033.38, 44,207.56 and 17,695.22

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Solution

The fourth proportional to 32,033.38, 44,207.56 and 17,695.22 is: 24,420.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,033.38 : 44,207.56 = 17,695.22 : x
  2. Step 2: Convert to fraction form
    32,033.38/44,207.56 = 17,695.22/x
  3. Step 3: Cross multiply
    32,033.38x = 44,207.56 × 17,695.22
  4. Step 4: Simplify right side
    32,033.38x = 782,262,499.86
  5. Step 5: Solve for x
    x = 782,262,499.86/32,033.38
  6. Step 6: Final answer
    x = 24,420.23

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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.