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Finding the Fourth Proportional to 50,637.90, 69,882.03 and 31,785.42

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Solution

The fourth proportional to 50,637.90, 69,882.03 and 31,785.42 is: 43,864.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,637.90 : 69,882.03 = 31,785.42 : x
  2. Step 2: Convert to fraction form
    50,637.90/69,882.03 = 31,785.42/x
  3. Step 3: Cross multiply
    50,637.90x = 69,882.03 × 31,785.42
  4. Step 4: Simplify right side
    50,637.90x = 2,221,229,674.00
  5. Step 5: Solve for x
    x = 2,221,229,674.00/50,637.90
  6. Step 6: Final answer
    x = 43,864.96

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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.