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Finding the Fourth Proportional to 32,994.05, 49,491.17 and 8,034.09

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Solution

The fourth proportional to 32,994.05, 49,491.17 and 8,034.09 is: 12,051.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,994.05 : 49,491.17 = 8,034.09 : x
  2. Step 2: Convert to fraction form
    32,994.05/49,491.17 = 8,034.09/x
  3. Step 3: Cross multiply
    32,994.05x = 49,491.17 × 8,034.09
  4. Step 4: Simplify right side
    32,994.05x = 397,616,473.81
  5. Step 5: Solve for x
    x = 397,616,473.81/32,994.05
  6. Step 6: Final answer
    x = 12,051.16

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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.