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Finding the Fourth Proportional to 32,984.13, 49,476.21 and 8,024.03

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Solution

The fourth proportional to 32,984.13, 49,476.21 and 8,024.03 is: 12,036.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,984.13 : 49,476.21 = 8,024.03 : x
  2. Step 2: Convert to fraction form
    32,984.13/49,476.21 = 8,024.03/x
  3. Step 3: Cross multiply
    32,984.13x = 49,476.21 × 8,024.03
  4. Step 4: Simplify right side
    32,984.13x = 396,998,345.95
  5. Step 5: Solve for x
    x = 396,998,345.95/32,984.13
  6. Step 6: Final answer
    x = 12,036.04

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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.