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Finding the Fourth Proportional to 38,710.14, 53,418.09 and 21,712.26

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Solution

The fourth proportional to 38,710.14, 53,418.09 and 21,712.26 is: 29,961.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,710.14 : 53,418.09 = 21,712.26 : x
  2. Step 2: Convert to fraction form
    38,710.14/53,418.09 = 21,712.26/x
  3. Step 3: Cross multiply
    38,710.14x = 53,418.09 × 21,712.26
  4. Step 4: Simplify right side
    38,710.14x = 1,159,827,458.78
  5. Step 5: Solve for x
    x = 1,159,827,458.78/38,710.14
  6. Step 6: Final answer
    x = 29,961.85

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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.