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Finding the Fourth Proportional to 29,311.09, 43,976.05 and 9,585.16

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Solution

The fourth proportional to 29,311.09, 43,976.05 and 9,585.16 is: 14,380.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,311.09 : 43,976.05 = 9,585.16 : x
  2. Step 2: Convert to fraction form
    29,311.09/43,976.05 = 9,585.16/x
  3. Step 3: Cross multiply
    29,311.09x = 43,976.05 × 9,585.16
  4. Step 4: Simplify right side
    29,311.09x = 421,517,341.51
  5. Step 5: Solve for x
    x = 421,517,341.51/29,311.09
  6. Step 6: Final answer
    x = 14,380.82

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Why These Related Problems?

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