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Finding the Fourth Proportional to 55,954.92, 83,924.09 and 20,407.91

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Solution

The fourth proportional to 55,954.92, 83,924.09 and 20,407.91 is: 30,608.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,954.92 : 83,924.09 = 20,407.91 : x
  2. Step 2: Convert to fraction form
    55,954.92/83,924.09 = 20,407.91/x
  3. Step 3: Cross multiply
    55,954.92x = 83,924.09 × 20,407.91
  4. Step 4: Simplify right side
    55,954.92x = 1,712,714,753.89
  5. Step 5: Solve for x
    x = 1,712,714,753.89/55,954.92
  6. Step 6: Final answer
    x = 30,608.83

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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.