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Finding the Fourth Proportional to 31,967.68, 44,086.80 and 20,032.32

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Solution

The fourth proportional to 31,967.68, 44,086.80 and 20,032.32 is: 27,626.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,967.68 : 44,086.80 = 20,032.32 : x
  2. Step 2: Convert to fraction form
    31,967.68/44,086.80 = 20,032.32/x
  3. Step 3: Cross multiply
    31,967.68x = 44,086.80 × 20,032.32
  4. Step 4: Simplify right side
    31,967.68x = 883,160,885.38
  5. Step 5: Solve for x
    x = 883,160,885.38/31,967.68
  6. Step 6: Final answer
    x = 27,626.68

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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.