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Finding the Fourth Proportional to 38,842.94, 53,602.72 and 21,847.17

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Solution

The fourth proportional to 38,842.94, 53,602.72 and 21,847.17 is: 30,148.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,842.94 : 53,602.72 = 21,847.17 : x
  2. Step 2: Convert to fraction form
    38,842.94/53,602.72 = 21,847.17/x
  3. Step 3: Cross multiply
    38,842.94x = 53,602.72 × 21,847.17
  4. Step 4: Simplify right side
    38,842.94x = 1,171,067,944.14
  5. Step 5: Solve for x
    x = 1,171,067,944.14/38,842.94
  6. Step 6: Final answer
    x = 30,148.80

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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.