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Finding the Fourth Proportional to 31,297.19, 43,189.52 and 19,357.38

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Solution

The fourth proportional to 31,297.19, 43,189.52 and 19,357.38 is: 26,712.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,297.19 : 43,189.52 = 19,357.38 : x
  2. Step 2: Convert to fraction form
    31,297.19/43,189.52 = 19,357.38/x
  3. Step 3: Cross multiply
    31,297.19x = 43,189.52 × 19,357.38
  4. Step 4: Simplify right side
    31,297.19x = 836,035,853.87
  5. Step 5: Solve for x
    x = 836,035,853.87/31,297.19
  6. Step 6: Final answer
    x = 26,712.81

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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.