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Finding the Fourth Proportional to 109,711.71, 164,573.97 and 30,832.08

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Solution

The fourth proportional to 109,711.71, 164,573.97 and 30,832.08 is: 46,249.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,711.71 : 164,573.97 = 30,832.08 : x
  2. Step 2: Convert to fraction form
    109,711.71/164,573.97 = 30,832.08/x
  3. Step 3: Cross multiply
    109,711.71x = 164,573.97 × 30,832.08
  4. Step 4: Simplify right side
    109,711.71x = 5,074,157,808.96
  5. Step 5: Solve for x
    x = 5,074,157,808.96/109,711.71
  6. Step 6: Final answer
    x = 46,249.92

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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.