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Finding the Fourth Proportional to 38,111.82, 57,202.82 and 19,405.22

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Solution

The fourth proportional to 38,111.82, 57,202.82 and 19,405.22 is: 29,125.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,111.82 : 57,202.82 = 19,405.22 : x
  2. Step 2: Convert to fraction form
    38,111.82/57,202.82 = 19,405.22/x
  3. Step 3: Cross multiply
    38,111.82x = 57,202.82 × 19,405.22
  4. Step 4: Simplify right side
    38,111.82x = 1,110,032,923.68
  5. Step 5: Solve for x
    x = 1,110,032,923.68/38,111.82
  6. Step 6: Final answer
    x = 29,125.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.