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Finding the Fourth Proportional to 32,112, 44,341.92 and 20,195.28

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Solution

The fourth proportional to 32,112, 44,341.92 and 20,195.28 is: 27,886.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,112 : 44,341.92 = 20,195.28 : x
  2. Step 2: Convert to fraction form
    32,112/44,341.92 = 20,195.28/x
  3. Step 3: Cross multiply
    32,112x = 44,341.92 × 20,195.28
  4. Step 4: Simplify right side
    32,112x = 895,497,490.14
  5. Step 5: Solve for x
    x = 895,497,490.14/32,112
  6. Step 6: Final answer
    x = 27,886.69

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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.