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Finding the Fourth Proportional to 38,444.31, 53,053.16 and 21,677.31

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Solution

The fourth proportional to 38,444.31, 53,053.16 and 21,677.31 is: 29,914.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,444.31 : 53,053.16 = 21,677.31 : x
  2. Step 2: Convert to fraction form
    38,444.31/53,053.16 = 21,677.31/x
  3. Step 3: Cross multiply
    38,444.31x = 53,053.16 × 21,677.31
  4. Step 4: Simplify right side
    38,444.31x = 1,150,049,687.41
  5. Step 5: Solve for x
    x = 1,150,049,687.41/38,444.31
  6. Step 6: Final answer
    x = 29,914.69

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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.