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Finding the Fourth Proportional to 57,294.83, 79,067.71 and 31,802.84

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Solution

The fourth proportional to 57,294.83, 79,067.71 and 31,802.84 is: 43,888.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,294.83 : 79,067.71 = 31,802.84 : x
  2. Step 2: Convert to fraction form
    57,294.83/79,067.71 = 31,802.84/x
  3. Step 3: Cross multiply
    57,294.83x = 79,067.71 × 31,802.84
  4. Step 4: Simplify right side
    57,294.83x = 2,514,577,671.22
  5. Step 5: Solve for x
    x = 2,514,577,671.22/57,294.83
  6. Step 6: Final answer
    x = 43,888.39

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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.