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Finding the Fourth Proportional to 52,883.63, 72,982.77 and 34,947.17

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Solution

The fourth proportional to 52,883.63, 72,982.77 and 34,947.17 is: 48,229.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,883.63 : 72,982.77 = 34,947.17 : x
  2. Step 2: Convert to fraction form
    52,883.63/72,982.77 = 34,947.17/x
  3. Step 3: Cross multiply
    52,883.63x = 72,982.77 × 34,947.17
  4. Step 4: Simplify right side
    52,883.63x = 2,550,541,270.26
  5. Step 5: Solve for x
    x = 2,550,541,270.26/52,883.63
  6. Step 6: Final answer
    x = 48,229.32

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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.