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Finding the Fourth Proportional to 30,734.91, 42,416.19 and 23,167.89

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Solution

The fourth proportional to 30,734.91, 42,416.19 and 23,167.89 is: 31,973.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,734.91 : 42,416.19 = 23,167.89 : x
  2. Step 2: Convert to fraction form
    30,734.91/42,416.19 = 23,167.89/x
  3. Step 3: Cross multiply
    30,734.91x = 42,416.19 × 23,167.89
  4. Step 4: Simplify right side
    30,734.91x = 982,693,624.14
  5. Step 5: Solve for x
    x = 982,693,624.14/30,734.91
  6. Step 6: Final answer
    x = 31,973.21

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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.