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Finding the Fourth Proportional to 55,762.80, 76,947.60 and 33,097.92

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Solution

The fourth proportional to 55,762.80, 76,947.60 and 33,097.92 is: 45,672.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,762.80 : 76,947.60 = 33,097.92 : x
  2. Step 2: Convert to fraction form
    55,762.80/76,947.60 = 33,097.92/x
  3. Step 3: Cross multiply
    55,762.80x = 76,947.60 × 33,097.92
  4. Step 4: Simplify right side
    55,762.80x = 2,546,805,508.99
  5. Step 5: Solve for x
    x = 2,546,805,508.99/55,762.80
  6. Step 6: Final answer
    x = 45,672.12

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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.