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Finding the Fourth Proportional to 75,855.54, 104,680.47 and 41,866.11

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Solution

The fourth proportional to 75,855.54, 104,680.47 and 41,866.11 is: 57,775.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,855.54 : 104,680.47 = 41,866.11 : x
  2. Step 2: Convert to fraction form
    75,855.54/104,680.47 = 41,866.11/x
  3. Step 3: Cross multiply
    75,855.54x = 104,680.47 × 41,866.11
  4. Step 4: Simplify right side
    75,855.54x = 4,382,564,071.87
  5. Step 5: Solve for x
    x = 4,382,564,071.87/75,855.54
  6. Step 6: Final answer
    x = 57,775.14

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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.