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Finding the Fourth Proportional to 35,651.84, 49,184.16 and 22,219.52

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Solution

The fourth proportional to 35,651.84, 49,184.16 and 22,219.52 is: 30,653.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,651.84 : 49,184.16 = 22,219.52 : x
  2. Step 2: Convert to fraction form
    35,651.84/49,184.16 = 22,219.52/x
  3. Step 3: Cross multiply
    35,651.84x = 49,184.16 × 22,219.52
  4. Step 4: Simplify right side
    35,651.84x = 1,092,848,426.80
  5. Step 5: Solve for x
    x = 1,092,848,426.80/35,651.84
  6. Step 6: Final answer
    x = 30,653.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.