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Finding the Fourth Proportional to 50,188.54, 69,290.22 and 31,351.18

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Solution

The fourth proportional to 50,188.54, 69,290.22 and 31,351.18 is: 43,283.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,188.54 : 69,290.22 = 31,351.18 : x
  2. Step 2: Convert to fraction form
    50,188.54/69,290.22 = 31,351.18/x
  3. Step 3: Cross multiply
    50,188.54x = 69,290.22 × 31,351.18
  4. Step 4: Simplify right side
    50,188.54x = 2,172,330,159.46
  5. Step 5: Solve for x
    x = 2,172,330,159.46/50,188.54
  6. Step 6: Final answer
    x = 43,283.39

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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.