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Finding the Fourth Proportional to 55,104.78, 82,608.66 and 21,848.20

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Solution

The fourth proportional to 55,104.78, 82,608.66 and 21,848.20 is: 32,753.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,104.78 : 82,608.66 = 21,848.20 : x
  2. Step 2: Convert to fraction form
    55,104.78/82,608.66 = 21,848.20/x
  3. Step 3: Cross multiply
    55,104.78x = 82,608.66 × 21,848.20
  4. Step 4: Simplify right side
    55,104.78x = 1,804,850,525.41
  5. Step 5: Solve for x
    x = 1,804,850,525.41/55,104.78
  6. Step 6: Final answer
    x = 32,753.07

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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.