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Finding the Fourth Proportional to 77,625.48, 116,340.80 and 33,200

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Solution

The fourth proportional to 77,625.48, 116,340.80 and 33,200 is: 49,758.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,625.48 : 116,340.80 = 33,200 : x
  2. Step 2: Convert to fraction form
    77,625.48/116,340.80 = 33,200/x
  3. Step 3: Cross multiply
    77,625.48x = 116,340.80 × 33,200
  4. Step 4: Simplify right side
    77,625.48x = 3,862,514,560
  5. Step 5: Solve for x
    x = 3,862,514,560/77,625.48
  6. Step 6: Final answer
    x = 49,758.33

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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.