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Finding the Fourth Proportional to 29,536.49, 44,295.17 and 9,809.75

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Solution

The fourth proportional to 29,536.49, 44,295.17 and 9,809.75 is: 14,711.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,536.49 : 44,295.17 = 9,809.75 : x
  2. Step 2: Convert to fraction form
    29,536.49/44,295.17 = 9,809.75/x
  3. Step 3: Cross multiply
    29,536.49x = 44,295.17 × 9,809.75
  4. Step 4: Simplify right side
    29,536.49x = 434,524,543.91
  5. Step 5: Solve for x
    x = 434,524,543.91/29,536.49
  6. Step 6: Final answer
    x = 14,711.45

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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.