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Finding the Fourth Proportional to 32,994.29, 49,491.47 and 8,034.14

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Solution

The fourth proportional to 32,994.29, 49,491.47 and 8,034.14 is: 12,051.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,994.29 : 49,491.47 = 8,034.14 : x
  2. Step 2: Convert to fraction form
    32,994.29/49,491.47 = 8,034.14/x
  3. Step 3: Cross multiply
    32,994.29x = 49,491.47 × 8,034.14
  4. Step 4: Simplify right side
    32,994.29x = 397,621,542.60
  5. Step 5: Solve for x
    x = 397,621,542.60/32,994.29
  6. Step 6: Final answer
    x = 12,051.22

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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.