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Finding the Fourth Proportional to 182,777.76, 274,172.04 and 49,657.32

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Solution

The fourth proportional to 182,777.76, 274,172.04 and 49,657.32 is: 74,487.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,777.76 : 274,172.04 = 49,657.32 : x
  2. Step 2: Convert to fraction form
    182,777.76/274,172.04 = 49,657.32/x
  3. Step 3: Cross multiply
    182,777.76x = 274,172.04 × 49,657.32
  4. Step 4: Simplify right side
    182,777.76x = 13,614,648,725.33
  5. Step 5: Solve for x
    x = 13,614,648,725.33/182,777.76
  6. Step 6: Final answer
    x = 74,487.45

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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.