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Finding the Fourth Proportional to 34,231.91, 47,214 and 29,459.79

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Solution

The fourth proportional to 34,231.91, 47,214 and 29,459.79 is: 40,632.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,231.91 : 47,214 = 29,459.79 : x
  2. Step 2: Convert to fraction form
    34,231.91/47,214 = 29,459.79/x
  3. Step 3: Cross multiply
    34,231.91x = 47,214 × 29,459.79
  4. Step 4: Simplify right side
    34,231.91x = 1,390,914,525.06
  5. Step 5: Solve for x
    x = 1,390,914,525.06/34,231.91
  6. Step 6: Final answer
    x = 40,632.11

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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.