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Finding the Fourth Proportional to 28,022.78, 42,040.32 and 8,302.88

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Solution

The fourth proportional to 28,022.78, 42,040.32 and 8,302.88 is: 12,456.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,022.78 : 42,040.32 = 8,302.88 : x
  2. Step 2: Convert to fraction form
    28,022.78/42,040.32 = 8,302.88/x
  3. Step 3: Cross multiply
    28,022.78x = 42,040.32 × 8,302.88
  4. Step 4: Simplify right side
    28,022.78x = 349,055,732.12
  5. Step 5: Solve for x
    x = 349,055,732.12/28,022.78
  6. Step 6: Final answer
    x = 12,456.14

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1.5x scale

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.