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Finding the Fourth Proportional to 32,984.31, 49,475.79 and 8,024.49

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Solution

The fourth proportional to 32,984.31, 49,475.79 and 8,024.49 is: 12,036.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,984.31 : 49,475.79 = 8,024.49 : x
  2. Step 2: Convert to fraction form
    32,984.31/49,475.79 = 8,024.49/x
  3. Step 3: Cross multiply
    32,984.31x = 49,475.79 × 8,024.49
  4. Step 4: Simplify right side
    32,984.31x = 397,018,098.68
  5. Step 5: Solve for x
    x = 397,018,098.68/32,984.31
  6. Step 6: Final answer
    x = 12,036.57

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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.