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Finding the Fourth Proportional to 32,145.40, 44,337.90 and 27,661.42

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Solution

The fourth proportional to 32,145.40, 44,337.90 and 27,661.42 is: 38,153.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,145.40 : 44,337.90 = 27,661.42 : x
  2. Step 2: Convert to fraction form
    32,145.40/44,337.90 = 27,661.42/x
  3. Step 3: Cross multiply
    32,145.40x = 44,337.90 × 27,661.42
  4. Step 4: Simplify right side
    32,145.40x = 1,226,449,273.82
  5. Step 5: Solve for x
    x = 1,226,449,273.82/32,145.40
  6. Step 6: Final answer
    x = 38,153.18

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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.