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Finding the Fourth Proportional to 38,656.82, 53,339.25 and 22,744.34

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Solution

The fourth proportional to 38,656.82, 53,339.25 and 22,744.34 is: 31,382.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,656.82 : 53,339.25 = 22,744.34 : x
  2. Step 2: Convert to fraction form
    38,656.82/53,339.25 = 22,744.34/x
  3. Step 3: Cross multiply
    38,656.82x = 53,339.25 × 22,744.34
  4. Step 4: Simplify right side
    38,656.82x = 1,213,166,037.35
  5. Step 5: Solve for x
    x = 1,213,166,037.35/38,656.82
  6. Step 6: Final answer
    x = 31,382.98

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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.