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Finding the Fourth Proportional to 50,470.49, 75,648.33 and 30,705.48

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Solution

The fourth proportional to 50,470.49, 75,648.33 and 30,705.48 is: 46,023.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,470.49 : 75,648.33 = 30,705.48 : x
  2. Step 2: Convert to fraction form
    50,470.49/75,648.33 = 30,705.48/x
  3. Step 3: Cross multiply
    50,470.49x = 75,648.33 × 30,705.48
  4. Step 4: Simplify right side
    50,470.49x = 2,322,818,283.85
  5. Step 5: Solve for x
    x = 2,322,818,283.85/50,470.49
  6. Step 6: Final answer
    x = 46,023.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.