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Finding the Fourth Proportional to 31,969.27, 44,119.08 and 17,822.20

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Solution

The fourth proportional to 31,969.27, 44,119.08 and 17,822.20 is: 24,595.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,969.27 : 44,119.08 = 17,822.20 : x
  2. Step 2: Convert to fraction form
    31,969.27/44,119.08 = 17,822.20/x
  3. Step 3: Cross multiply
    31,969.27x = 44,119.08 × 17,822.20
  4. Step 4: Simplify right side
    31,969.27x = 786,299,067.58
  5. Step 5: Solve for x
    x = 786,299,067.58/31,969.27
  6. Step 6: Final answer
    x = 24,595.47

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1.5x scale

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.