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Finding the Fourth Proportional to 109,651.15, 164,349.15 and 50,492.80

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Solution

The fourth proportional to 109,651.15, 164,349.15 and 50,492.80 is: 75,680.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,651.15 : 164,349.15 = 50,492.80 : x
  2. Step 2: Convert to fraction form
    109,651.15/164,349.15 = 50,492.80/x
  3. Step 3: Cross multiply
    109,651.15x = 164,349.15 × 50,492.80
  4. Step 4: Simplify right side
    109,651.15x = 8,298,448,761.12
  5. Step 5: Solve for x
    x = 8,298,448,761.12/109,651.15
  6. Step 6: Final answer
    x = 75,680.45

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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.