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Finding the Fourth Proportional to 61,123.78, 84,351.14 and 35,647.83

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Solution

The fourth proportional to 61,123.78, 84,351.14 and 35,647.83 is: 49,194.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,123.78 : 84,351.14 = 35,647.83 : x
  2. Step 2: Convert to fraction form
    61,123.78/84,351.14 = 35,647.83/x
  3. Step 3: Cross multiply
    61,123.78x = 84,351.14 × 35,647.83
  4. Step 4: Simplify right side
    61,123.78x = 3,006,935,054.47
  5. Step 5: Solve for x
    x = 3,006,935,054.47/61,123.78
  6. Step 6: Final answer
    x = 49,194.19

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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.