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Finding the Fourth Proportional to 28,027.46, 42,034.03 and 8,301.41

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Solution

The fourth proportional to 28,027.46, 42,034.03 and 8,301.41 is: 12,449.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,027.46 : 42,034.03 = 8,301.41 : x
  2. Step 2: Convert to fraction form
    28,027.46/42,034.03 = 8,301.41/x
  3. Step 3: Cross multiply
    28,027.46x = 42,034.03 × 8,301.41
  4. Step 4: Simplify right side
    28,027.46x = 348,941,506.81
  5. Step 5: Solve for x
    x = 348,941,506.81/28,027.46
  6. Step 6: Final answer
    x = 12,449.99

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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.