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Finding the Fourth Proportional to 28,053.80, 42,077.46 and 8,330.30

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Solution

The fourth proportional to 28,053.80, 42,077.46 and 8,330.30 is: 12,494.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,053.80 : 42,077.46 = 8,330.30 : x
  2. Step 2: Convert to fraction form
    28,053.80/42,077.46 = 8,330.30/x
  3. Step 3: Cross multiply
    28,053.80x = 42,077.46 × 8,330.30
  4. Step 4: Simplify right side
    28,053.80x = 350,517,865.04
  5. Step 5: Solve for x
    x = 350,517,865.04/28,053.80
  6. Step 6: Final answer
    x = 12,494.49

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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.