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Finding the Fourth Proportional to 55,954.65, 83,890.06 and 33,762.78

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Solution

The fourth proportional to 55,954.65, 83,890.06 and 33,762.78 is: 50,618.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,954.65 : 83,890.06 = 33,762.78 : x
  2. Step 2: Convert to fraction form
    55,954.65/83,890.06 = 33,762.78/x
  3. Step 3: Cross multiply
    55,954.65x = 83,890.06 × 33,762.78
  4. Step 4: Simplify right side
    55,954.65x = 2,832,361,639.97
  5. Step 5: Solve for x
    x = 2,832,361,639.97/55,954.65
  6. Step 6: Final answer
    x = 50,618.88

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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.