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Finding the Fourth Proportional to 38,007.32, 57,011.10 and 22,414

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Solution

The fourth proportional to 38,007.32, 57,011.10 and 22,414 is: 33,621.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,007.32 : 57,011.10 = 22,414 : x
  2. Step 2: Convert to fraction form
    38,007.32/57,011.10 = 22,414/x
  3. Step 3: Cross multiply
    38,007.32x = 57,011.10 × 22,414
  4. Step 4: Simplify right side
    38,007.32x = 1,277,846,795.40
  5. Step 5: Solve for x
    x = 1,277,846,795.40/38,007.32
  6. Step 6: Final answer
    x = 33,621.07

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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.