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Finding the Fourth Proportional to 31,899.28, 44,016.04 and 17,752.08

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Solution

The fourth proportional to 31,899.28, 44,016.04 and 17,752.08 is: 24,495.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,899.28 : 44,016.04 = 17,752.08 : x
  2. Step 2: Convert to fraction form
    31,899.28/44,016.04 = 17,752.08/x
  3. Step 3: Cross multiply
    31,899.28x = 44,016.04 × 17,752.08
  4. Step 4: Simplify right side
    31,899.28x = 781,376,263.36
  5. Step 5: Solve for x
    x = 781,376,263.36/31,899.28
  6. Step 6: Final answer
    x = 24,495.11

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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.