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Finding the Fourth Proportional to 32,682.68, 49,031.40 and 11,906

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Solution

The fourth proportional to 32,682.68, 49,031.40 and 11,906 is: 17,861.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,682.68 : 49,031.40 = 11,906 : x
  2. Step 2: Convert to fraction form
    32,682.68/49,031.40 = 11,906/x
  3. Step 3: Cross multiply
    32,682.68x = 49,031.40 × 11,906
  4. Step 4: Simplify right side
    32,682.68x = 583,767,848.40
  5. Step 5: Solve for x
    x = 583,767,848.40/32,682.68
  6. Step 6: Final answer
    x = 17,861.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.