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Finding the Fourth Proportional to 38,965.74, 53,776.35 and 22,195.50

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Solution

The fourth proportional to 38,965.74, 53,776.35 and 22,195.50 is: 30,631.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,965.74 : 53,776.35 = 22,195.50 : x
  2. Step 2: Convert to fraction form
    38,965.74/53,776.35 = 22,195.50/x
  3. Step 3: Cross multiply
    38,965.74x = 53,776.35 × 22,195.50
  4. Step 4: Simplify right side
    38,965.74x = 1,193,592,976.43
  5. Step 5: Solve for x
    x = 1,193,592,976.43/38,965.74
  6. Step 6: Final answer
    x = 30,631.86

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