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Finding the Fourth Proportional to 34,151.84, 47,137.06 and 22,194.40

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Solution

The fourth proportional to 34,151.84, 47,137.06 and 22,194.40 is: 30,633.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,151.84 : 47,137.06 = 22,194.40 : x
  2. Step 2: Convert to fraction form
    34,151.84/47,137.06 = 22,194.40/x
  3. Step 3: Cross multiply
    34,151.84x = 47,137.06 × 22,194.40
  4. Step 4: Simplify right side
    34,151.84x = 1,046,178,764.46
  5. Step 5: Solve for x
    x = 1,046,178,764.46/34,151.84
  6. Step 6: Final answer
    x = 30,633.16

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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.