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Finding the Fourth Proportional to 31,678.56, 43,715.76 and 17,530.56

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Solution

The fourth proportional to 31,678.56, 43,715.76 and 17,530.56 is: 24,191.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,678.56 : 43,715.76 = 17,530.56 : x
  2. Step 2: Convert to fraction form
    31,678.56/43,715.76 = 17,530.56/x
  3. Step 3: Cross multiply
    31,678.56x = 43,715.76 × 17,530.56
  4. Step 4: Simplify right side
    31,678.56x = 766,361,753.63
  5. Step 5: Solve for x
    x = 766,361,753.63/31,678.56
  6. Step 6: Final answer
    x = 24,191.81

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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.