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Finding the Fourth Proportional to 50,464, 75,694.56 and 15,398.56

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Solution

The fourth proportional to 50,464, 75,694.56 and 15,398.56 is: 23,097.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,464 : 75,694.56 = 15,398.56 : x
  2. Step 2: Convert to fraction form
    50,464/75,694.56 = 15,398.56/x
  3. Step 3: Cross multiply
    50,464x = 75,694.56 × 15,398.56
  4. Step 4: Simplify right side
    50,464x = 1,165,587,223.83
  5. Step 5: Solve for x
    x = 1,165,587,223.83/50,464
  6. Step 6: Final answer
    x = 23,097.40

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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.