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Finding the Fourth Proportional to 50,184.36, 69,255 and 31,332.42

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Solution

The fourth proportional to 50,184.36, 69,255 and 31,332.42 is: 43,239.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,184.36 : 69,255 = 31,332.42 : x
  2. Step 2: Convert to fraction form
    50,184.36/69,255 = 31,332.42/x
  3. Step 3: Cross multiply
    50,184.36x = 69,255 × 31,332.42
  4. Step 4: Simplify right side
    50,184.36x = 2,169,926,747.10
  5. Step 5: Solve for x
    x = 2,169,926,747.10/50,184.36
  6. Step 6: Final answer
    x = 43,239.10

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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.