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Finding the Fourth Proportional to 57,294.31, 79,067 and 31,802.33

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Solution

The fourth proportional to 57,294.31, 79,067 and 31,802.33 is: 43,887.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,294.31 : 79,067 = 31,802.33 : x
  2. Step 2: Convert to fraction form
    57,294.31/79,067 = 31,802.33/x
  3. Step 3: Cross multiply
    57,294.31x = 79,067 × 31,802.33
  4. Step 4: Simplify right side
    57,294.31x = 2,514,514,826.11
  5. Step 5: Solve for x
    x = 2,514,514,826.11/57,294.31
  6. Step 6: Final answer
    x = 43,887.69

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1.5x scale

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.