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Finding the Fourth Proportional to 29,567.70, 44,302.14 and 21,234.96

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Solution

The fourth proportional to 29,567.70, 44,302.14 and 21,234.96 is: 31,816.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,567.70 : 44,302.14 = 21,234.96 : x
  2. Step 2: Convert to fraction form
    29,567.70/44,302.14 = 21,234.96/x
  3. Step 3: Cross multiply
    29,567.70x = 44,302.14 × 21,234.96
  4. Step 4: Simplify right side
    29,567.70x = 940,754,170.81
  5. Step 5: Solve for x
    x = 940,754,170.81/29,567.70
  6. Step 6: Final answer
    x = 31,816.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.