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Finding the Fourth Proportional to 57,702, 79,629 and 31,206

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Solution

The fourth proportional to 57,702, 79,629 and 31,206 is: 43,064.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,702 : 79,629 = 31,206 : x
  2. Step 2: Convert to fraction form
    57,702/79,629 = 31,206/x
  3. Step 3: Cross multiply
    57,702x = 79,629 × 31,206
  4. Step 4: Simplify right side
    57,702x = 2,484,902,574
  5. Step 5: Solve for x
    x = 2,484,902,574/57,702
  6. Step 6: Final answer
    x = 43,064.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.