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Finding the Fourth Proportional to 61,143.86, 84,388.64 and 34,292.97

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Solution

The fourth proportional to 61,143.86, 84,388.64 and 34,292.97 is: 47,329.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,143.86 : 84,388.64 = 34,292.97 : x
  2. Step 2: Convert to fraction form
    61,143.86/84,388.64 = 34,292.97/x
  3. Step 3: Cross multiply
    61,143.86x = 84,388.64 × 34,292.97
  4. Step 4: Simplify right side
    61,143.86x = 2,893,936,928.40
  5. Step 5: Solve for x
    x = 2,893,936,928.40/61,143.86
  6. Step 6: Final answer
    x = 47,329.97

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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.