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Finding the Fourth Proportional to 50,732, 76,098.24 and 17,900

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Solution

The fourth proportional to 50,732, 76,098.24 and 17,900 is: 26,850.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,732 : 76,098.24 = 17,900 : x
  2. Step 2: Convert to fraction form
    50,732/76,098.24 = 17,900/x
  3. Step 3: Cross multiply
    50,732x = 76,098.24 × 17,900
  4. Step 4: Simplify right side
    50,732x = 1,362,158,496
  5. Step 5: Solve for x
    x = 1,362,158,496/50,732
  6. Step 6: Final answer
    x = 26,850.08

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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.