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Finding the Fourth Proportional to 32,080.38, 44,270.16 and 17,934.54

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Solution

The fourth proportional to 32,080.38, 44,270.16 and 17,934.54 is: 24,749.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,080.38 : 44,270.16 = 17,934.54 : x
  2. Step 2: Convert to fraction form
    32,080.38/44,270.16 = 17,934.54/x
  3. Step 3: Cross multiply
    32,080.38x = 44,270.16 × 17,934.54
  4. Step 4: Simplify right side
    32,080.38x = 793,964,955.33
  5. Step 5: Solve for x
    x = 793,964,955.33/32,080.38
  6. Step 6: Final answer
    x = 24,749.24

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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.