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Finding the Fourth Proportional to 182,694.72, 274,042.20 and 49,575

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Solution

The fourth proportional to 182,694.72, 274,042.20 and 49,575 is: 74,362.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,694.72 : 274,042.20 = 49,575 : x
  2. Step 2: Convert to fraction form
    182,694.72/274,042.20 = 49,575/x
  3. Step 3: Cross multiply
    182,694.72x = 274,042.20 × 49,575
  4. Step 4: Simplify right side
    182,694.72x = 13,585,642,065
  5. Step 5: Solve for x
    x = 13,585,642,065/182,694.72
  6. Step 6: Final answer
    x = 74,362.53

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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.