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Finding the Fourth Proportional to 109,432.65, 164,021.40 and 50,274.30

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Solution

The fourth proportional to 109,432.65, 164,021.40 and 50,274.30 is: 75,352.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,432.65 : 164,021.40 = 50,274.30 : x
  2. Step 2: Convert to fraction form
    109,432.65/164,021.40 = 50,274.30/x
  3. Step 3: Cross multiply
    109,432.65x = 164,021.40 × 50,274.30
  4. Step 4: Simplify right side
    109,432.65x = 8,246,061,070.02
  5. Step 5: Solve for x
    x = 8,246,061,070.02/109,432.65
  6. Step 6: Final answer
    x = 75,352.84

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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.