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Finding the Fourth Proportional to 50,377.52, 69,513.28 and 30,230

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Solution

The fourth proportional to 50,377.52, 69,513.28 and 30,230 is: 41,712.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,377.52 : 69,513.28 = 30,230 : x
  2. Step 2: Convert to fraction form
    50,377.52/69,513.28 = 30,230/x
  3. Step 3: Cross multiply
    50,377.52x = 69,513.28 × 30,230
  4. Step 4: Simplify right side
    50,377.52x = 2,101,386,454.40
  5. Step 5: Solve for x
    x = 2,101,386,454.40/50,377.52
  6. Step 6: Final answer
    x = 41,712.78

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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.