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Finding the Fourth Proportional to 38,249.90, 57,117.30 and 31,243.90

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Solution

The fourth proportional to 38,249.90, 57,117.30 and 31,243.90 is: 46,655.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,249.90 : 57,117.30 = 31,243.90 : x
  2. Step 2: Convert to fraction form
    38,249.90/57,117.30 = 31,243.90/x
  3. Step 3: Cross multiply
    38,249.90x = 57,117.30 × 31,243.90
  4. Step 4: Simplify right side
    38,249.90x = 1,784,567,209.47
  5. Step 5: Solve for x
    x = 1,784,567,209.47/38,249.90
  6. Step 6: Final answer
    x = 46,655.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.