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Finding the Fourth Proportional to 182,881.70, 274,294.84 and 49,772.33

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Solution

The fourth proportional to 182,881.70, 274,294.84 and 49,772.33 is: 74,650.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,881.70 : 274,294.84 = 49,772.33 : x
  2. Step 2: Convert to fraction form
    182,881.70/274,294.84 = 49,772.33/x
  3. Step 3: Cross multiply
    182,881.70x = 274,294.84 × 49,772.33
  4. Step 4: Simplify right side
    182,881.70x = 13,652,294,462.71
  5. Step 5: Solve for x
    x = 13,652,294,462.71/182,881.70
  6. Step 6: Final answer
    x = 74,650.96

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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.