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Finding the Fourth Proportional to 32,994.11, 49,491.11 and 9,301.61

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Solution

The fourth proportional to 32,994.11, 49,491.11 and 9,301.61 is: 13,952.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,994.11 : 49,491.11 = 9,301.61 : x
  2. Step 2: Convert to fraction form
    32,994.11/49,491.11 = 9,301.61/x
  3. Step 3: Cross multiply
    32,994.11x = 49,491.11 × 9,301.61
  4. Step 4: Simplify right side
    32,994.11x = 460,346,709.72
  5. Step 5: Solve for x
    x = 460,346,709.72/32,994.11
  6. Step 6: Final answer
    x = 13,952.39

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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.