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Finding the Fourth Proportional to 109,493.77, 164,264.55 and 33,592.72

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Solution

The fourth proportional to 109,493.77, 164,264.55 and 33,592.72 is: 50,396.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,493.77 : 164,264.55 = 33,592.72 : x
  2. Step 2: Convert to fraction form
    109,493.77/164,264.55 = 33,592.72/x
  3. Step 3: Cross multiply
    109,493.77x = 164,264.55 × 33,592.72
  4. Step 4: Simplify right side
    109,493.77x = 5,518,093,034.08
  5. Step 5: Solve for x
    x = 5,518,093,034.08/109,493.77
  6. Step 6: Final answer
    x = 50,396.41

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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.