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Finding the Fourth Proportional to 109,904.34, 164,856.69 and 39,767.34

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Solution

The fourth proportional to 109,904.34, 164,856.69 and 39,767.34 is: 59,651.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,904.34 : 164,856.69 = 39,767.34 : x
  2. Step 2: Convert to fraction form
    109,904.34/164,856.69 = 39,767.34/x
  3. Step 3: Cross multiply
    109,904.34x = 164,856.69 × 39,767.34
  4. Step 4: Simplify right side
    109,904.34x = 6,555,912,042.50
  5. Step 5: Solve for x
    x = 6,555,912,042.50/109,904.34
  6. Step 6: Final answer
    x = 59,651.08

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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.