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Finding the Fourth Proportional to 55,295.51, 82,948.66 and 22,007.80

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Solution

The fourth proportional to 55,295.51, 82,948.66 and 22,007.80 is: 33,013.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,295.51 : 82,948.66 = 22,007.80 : x
  2. Step 2: Convert to fraction form
    55,295.51/82,948.66 = 22,007.80/x
  3. Step 3: Cross multiply
    55,295.51x = 82,948.66 × 22,007.80
  4. Step 4: Simplify right side
    55,295.51x = 1,825,517,568.21
  5. Step 5: Solve for x
    x = 1,825,517,568.21/55,295.51
  6. Step 6: Final answer
    x = 33,013.85

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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.