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Finding the Fourth Proportional to 50,947.20, 76,420.80 and 34,358.40

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Solution

The fourth proportional to 50,947.20, 76,420.80 and 34,358.40 is: 51,537.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,947.20 : 76,420.80 = 34,358.40 : x
  2. Step 2: Convert to fraction form
    50,947.20/76,420.80 = 34,358.40/x
  3. Step 3: Cross multiply
    50,947.20x = 76,420.80 × 34,358.40
  4. Step 4: Simplify right side
    50,947.20x = 2,625,696,414.72
  5. Step 5: Solve for x
    x = 2,625,696,414.72/50,947.20
  6. Step 6: Final answer
    x = 51,537.60

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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.