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Finding the Fourth Proportional to 38,976.54, 53,787.30 and 21,071.40

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Solution

The fourth proportional to 38,976.54, 53,787.30 and 21,071.40 is: 29,078.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,976.54 : 53,787.30 = 21,071.40 : x
  2. Step 2: Convert to fraction form
    38,976.54/53,787.30 = 21,071.40/x
  3. Step 3: Cross multiply
    38,976.54x = 53,787.30 × 21,071.40
  4. Step 4: Simplify right side
    38,976.54x = 1,133,373,713.22
  5. Step 5: Solve for x
    x = 1,133,373,713.22/38,976.54
  6. Step 6: Final answer
    x = 29,078.36

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Why These Related Problems?

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