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Finding the Fourth Proportional to 50,638.40, 69,882.72 and 31,785.92

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Solution

The fourth proportional to 50,638.40, 69,882.72 and 31,785.92 is: 43,865.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,638.40 : 69,882.72 = 31,785.92 : x
  2. Step 2: Convert to fraction form
    50,638.40/69,882.72 = 31,785.92/x
  3. Step 3: Cross multiply
    50,638.40x = 69,882.72 × 31,785.92
  4. Step 4: Simplify right side
    50,638.40x = 2,221,286,547.30
  5. Step 5: Solve for x
    x = 2,221,286,547.30/50,638.40
  6. Step 6: Final answer
    x = 43,865.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.