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Finding the Fourth Proportional to 29,959.42, 44,939.14 and 10,238.15

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Solution

The fourth proportional to 29,959.42, 44,939.14 and 10,238.15 is: 15,357.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,959.42 : 44,939.14 = 10,238.15 : x
  2. Step 2: Convert to fraction form
    29,959.42/44,939.14 = 10,238.15/x
  3. Step 3: Cross multiply
    29,959.42x = 44,939.14 × 10,238.15
  4. Step 4: Simplify right side
    29,959.42x = 460,093,656.19
  5. Step 5: Solve for x
    x = 460,093,656.19/29,959.42
  6. Step 6: Final answer
    x = 15,357.23

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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.