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Finding the Fourth Proportional to 29,109.68, 43,664.51 and 9,388.23

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Solution

The fourth proportional to 29,109.68, 43,664.51 and 9,388.23 is: 14,082.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,109.68 : 43,664.51 = 9,388.23 : x
  2. Step 2: Convert to fraction form
    29,109.68/43,664.51 = 9,388.23/x
  3. Step 3: Cross multiply
    29,109.68x = 43,664.51 × 9,388.23
  4. Step 4: Simplify right side
    29,109.68x = 409,932,568.06
  5. Step 5: Solve for x
    x = 409,932,568.06/29,109.68
  6. Step 6: Final answer
    x = 14,082.35

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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.