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Finding the Fourth Proportional to 34,150.84, 47,135.68 and 22,193.40

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Solution

The fourth proportional to 34,150.84, 47,135.68 and 22,193.40 is: 30,631.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,150.84 : 47,135.68 = 22,193.40 : x
  2. Step 2: Convert to fraction form
    34,150.84/47,135.68 = 22,193.40/x
  3. Step 3: Cross multiply
    34,150.84x = 47,135.68 × 22,193.40
  4. Step 4: Simplify right side
    34,150.84x = 1,046,101,000.51
  5. Step 5: Solve for x
    x = 1,046,101,000.51/34,150.84
  6. Step 6: Final answer
    x = 30,631.78

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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.