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Finding the Fourth Proportional to 143,083.92, 214,664 and 49,589.52

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Solution

The fourth proportional to 143,083.92, 214,664 and 49,589.52 is: 74,397.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,083.92 : 214,664 = 49,589.52 : x
  2. Step 2: Convert to fraction form
    143,083.92/214,664 = 49,589.52/x
  3. Step 3: Cross multiply
    143,083.92x = 214,664 × 49,589.52
  4. Step 4: Simplify right side
    143,083.92x = 10,645,084,721.28
  5. Step 5: Solve for x
    x = 10,645,084,721.28/143,083.92
  6. Step 6: Final answer
    x = 74,397.49

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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.