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Finding the Fourth Proportional to 61,124.36, 84,351.83 and 35,648.30

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Solution

The fourth proportional to 61,124.36, 84,351.83 and 35,648.30 is: 49,194.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,124.36 : 84,351.83 = 35,648.30 : x
  2. Step 2: Convert to fraction form
    61,124.36/84,351.83 = 35,648.30/x
  3. Step 3: Cross multiply
    61,124.36x = 84,351.83 × 35,648.30
  4. Step 4: Simplify right side
    61,124.36x = 3,006,999,374.03
  5. Step 5: Solve for x
    x = 3,006,999,374.03/61,124.36
  6. Step 6: Final answer
    x = 49,194.78

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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.