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Finding the Fourth Proportional to 38,490.48, 53,115.82 and 21,494.25

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Solution

The fourth proportional to 38,490.48, 53,115.82 and 21,494.25 is: 29,661.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,490.48 : 53,115.82 = 21,494.25 : x
  2. Step 2: Convert to fraction form
    38,490.48/53,115.82 = 21,494.25/x
  3. Step 3: Cross multiply
    38,490.48x = 53,115.82 × 21,494.25
  4. Step 4: Simplify right side
    38,490.48x = 1,141,684,394.72
  5. Step 5: Solve for x
    x = 1,141,684,394.72/38,490.48
  6. Step 6: Final answer
    x = 29,661.48

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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.