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Finding the Fourth Proportional to 41,866.78, 57,776.07 and 22,746.62

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Solution

The fourth proportional to 41,866.78, 57,776.07 and 22,746.62 is: 31,390.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,866.78 : 57,776.07 = 22,746.62 : x
  2. Step 2: Convert to fraction form
    41,866.78/57,776.07 = 22,746.62/x
  3. Step 3: Cross multiply
    41,866.78x = 57,776.07 × 22,746.62
  4. Step 4: Simplify right side
    41,866.78x = 1,314,210,309.38
  5. Step 5: Solve for x
    x = 1,314,210,309.38/41,866.78
  6. Step 6: Final answer
    x = 31,390.29

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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.