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Finding the Fourth Proportional to 29,314.68, 43,976.16 and 9,594.84

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Solution

The fourth proportional to 29,314.68, 43,976.16 and 9,594.84 is: 14,393.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,314.68 : 43,976.16 = 9,594.84 : x
  2. Step 2: Convert to fraction form
    29,314.68/43,976.16 = 9,594.84/x
  3. Step 3: Cross multiply
    29,314.68x = 43,976.16 × 9,594.84
  4. Step 4: Simplify right side
    29,314.68x = 421,944,219.01
  5. Step 5: Solve for x
    x = 421,944,219.01/29,314.68
  6. Step 6: Final answer
    x = 14,393.62

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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.