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Finding the Fourth Proportional to 75,760.65, 104,511.26 and 57,824.52

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Solution

The fourth proportional to 75,760.65, 104,511.26 and 57,824.52 is: 79,768.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,760.65 : 104,511.26 = 57,824.52 : x
  2. Step 2: Convert to fraction form
    75,760.65/104,511.26 = 57,824.52/x
  3. Step 3: Cross multiply
    75,760.65x = 104,511.26 × 57,824.52
  4. Step 4: Simplify right side
    75,760.65x = 6,043,313,196.74
  5. Step 5: Solve for x
    x = 6,043,313,196.74/75,760.65
  6. Step 6: Final answer
    x = 79,768.50

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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.