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Finding the Fourth Proportional to 57,663, 79,574.94 and 31,167

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Solution

The fourth proportional to 57,663, 79,574.94 and 31,167 is: 43,010.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,663 : 79,574.94 = 31,167 : x
  2. Step 2: Convert to fraction form
    57,663/79,574.94 = 31,167/x
  3. Step 3: Cross multiply
    57,663x = 79,574.94 × 31,167
  4. Step 4: Simplify right side
    57,663x = 2,480,112,154.98
  5. Step 5: Solve for x
    x = 2,480,112,154.98/57,663
  6. Step 6: Final answer
    x = 43,010.46

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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.