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Finding the Fourth Proportional to 103,614.51, 155,418.12 and 33,492

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Solution

The fourth proportional to 103,614.51, 155,418.12 and 33,492 is: 50,236.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,614.51 : 155,418.12 = 33,492 : x
  2. Step 2: Convert to fraction form
    103,614.51/155,418.12 = 33,492/x
  3. Step 3: Cross multiply
    103,614.51x = 155,418.12 × 33,492
  4. Step 4: Simplify right side
    103,614.51x = 5,205,263,675.04
  5. Step 5: Solve for x
    x = 5,205,263,675.04/103,614.51
  6. Step 6: Final answer
    x = 50,236.82

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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.