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Finding the Fourth Proportional to 38,468.94, 57,702.81 and 19,738.17

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Solution

The fourth proportional to 38,468.94, 57,702.81 and 19,738.17 is: 29,606.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,468.94 : 57,702.81 = 19,738.17 : x
  2. Step 2: Convert to fraction form
    38,468.94/57,702.81 = 19,738.17/x
  3. Step 3: Cross multiply
    38,468.94x = 57,702.81 × 19,738.17
  4. Step 4: Simplify right side
    38,468.94x = 1,138,947,873.26
  5. Step 5: Solve for x
    x = 1,138,947,873.26/38,468.94
  6. Step 6: Final answer
    x = 29,606.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.