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Finding the Fourth Proportional to 46,149.80, 69,224.78 and 26,414.71

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Solution

The fourth proportional to 46,149.80, 69,224.78 and 26,414.71 is: 39,622.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,149.80 : 69,224.78 = 26,414.71 : x
  2. Step 2: Convert to fraction form
    46,149.80/69,224.78 = 26,414.71/x
  3. Step 3: Cross multiply
    46,149.80x = 69,224.78 × 26,414.71
  4. Step 4: Simplify right side
    46,149.80x = 1,828,552,232.91
  5. Step 5: Solve for x
    x = 1,828,552,232.91/46,149.80
  6. Step 6: Final answer
    x = 39,622.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.