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Finding the Fourth Proportional to 109,719.88, 164,455.36 and 50,433.04

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Solution

The fourth proportional to 109,719.88, 164,455.36 and 50,433.04 is: 75,592.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,719.88 : 164,455.36 = 50,433.04 : x
  2. Step 2: Convert to fraction form
    109,719.88/164,455.36 = 50,433.04/x
  3. Step 3: Cross multiply
    109,719.88x = 164,455.36 × 50,433.04
  4. Step 4: Simplify right side
    109,719.88x = 8,293,983,749.09
  5. Step 5: Solve for x
    x = 8,293,983,749.09/109,719.88
  6. Step 6: Final answer
    x = 75,592.35

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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.