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Finding the Fourth Proportional to 19,903.52, 29,873.74 and 10,049.72

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Solution

The fourth proportional to 19,903.52, 29,873.74 and 10,049.72 is: 15,083.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,903.52 : 29,873.74 = 10,049.72 : x
  2. Step 2: Convert to fraction form
    19,903.52/29,873.74 = 10,049.72/x
  3. Step 3: Cross multiply
    19,903.52x = 29,873.74 × 10,049.72
  4. Step 4: Simplify right side
    19,903.52x = 300,222,706.48
  5. Step 5: Solve for x
    x = 300,222,706.48/19,903.52
  6. Step 6: Final answer
    x = 15,083.90

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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.