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Finding the Fourth Proportional to 55,894.50, 83,866.05 and 27,842.58

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Solution

The fourth proportional to 55,894.50, 83,866.05 and 27,842.58 is: 41,775.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,894.50 : 83,866.05 = 27,842.58 : x
  2. Step 2: Convert to fraction form
    55,894.50/83,866.05 = 27,842.58/x
  3. Step 3: Cross multiply
    55,894.50x = 83,866.05 × 27,842.58
  4. Step 4: Simplify right side
    55,894.50x = 2,335,047,206.41
  5. Step 5: Solve for x
    x = 2,335,047,206.41/55,894.50
  6. Step 6: Final answer
    x = 41,775.97

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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.