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Finding the Fourth Proportional to 182,881.42, 274,294.42 and 49,772.05

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Solution

The fourth proportional to 182,881.42, 274,294.42 and 49,772.05 is: 74,650.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,881.42 : 274,294.42 = 49,772.05 : x
  2. Step 2: Convert to fraction form
    182,881.42/274,294.42 = 49,772.05/x
  3. Step 3: Cross multiply
    182,881.42x = 274,294.42 × 49,772.05
  4. Step 4: Simplify right side
    182,881.42x = 13,652,196,319.70
  5. Step 5: Solve for x
    x = 13,652,196,319.70/182,881.42
  6. Step 6: Final answer
    x = 74,650.54

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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.