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Finding the Fourth Proportional to 38,917.68, 53,709.12 and 22,150.68

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Solution

The fourth proportional to 38,917.68, 53,709.12 and 22,150.68 is: 30,569.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,917.68 : 53,709.12 = 22,150.68 : x
  2. Step 2: Convert to fraction form
    38,917.68/53,709.12 = 22,150.68/x
  3. Step 3: Cross multiply
    38,917.68x = 53,709.12 × 22,150.68
  4. Step 4: Simplify right side
    38,917.68x = 1,189,693,530.20
  5. Step 5: Solve for x
    x = 1,189,693,530.20/38,917.68
  6. Step 6: Final answer
    x = 30,569.49

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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.