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Finding the Fourth Proportional to 55,881.80, 83,822.52 and 22,601.48

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Solution

The fourth proportional to 55,881.80, 83,822.52 and 22,601.48 is: 33,902.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,881.80 : 83,822.52 = 22,601.48 : x
  2. Step 2: Convert to fraction form
    55,881.80/83,822.52 = 22,601.48/x
  3. Step 3: Cross multiply
    55,881.80x = 83,822.52 × 22,601.48
  4. Step 4: Simplify right side
    55,881.80x = 1,894,513,009.33
  5. Step 5: Solve for x
    x = 1,894,513,009.33/55,881.80
  6. Step 6: Final answer
    x = 33,902.15

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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.