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Finding the Fourth Proportional to 29,574.38, 44,363.70 and 9,309.40

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Solution

The fourth proportional to 29,574.38, 44,363.70 and 9,309.40 is: 13,964.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,574.38 : 44,363.70 = 9,309.40 : x
  2. Step 2: Convert to fraction form
    29,574.38/44,363.70 = 9,309.40/x
  3. Step 3: Cross multiply
    29,574.38x = 44,363.70 × 9,309.40
  4. Step 4: Simplify right side
    29,574.38x = 412,999,317.87
  5. Step 5: Solve for x
    x = 412,999,317.87/29,574.38
  6. Step 6: Final answer
    x = 13,964.77

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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.