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Finding the Fourth Proportional to 122,963.64, 184,322.31 and 47,980.62

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Solution

The fourth proportional to 122,963.64, 184,322.31 and 47,980.62 is: 71,922.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,963.64 : 184,322.31 = 47,980.62 : x
  2. Step 2: Convert to fraction form
    122,963.64/184,322.31 = 47,980.62/x
  3. Step 3: Cross multiply
    122,963.64x = 184,322.31 × 47,980.62
  4. Step 4: Simplify right side
    122,963.64x = 8,843,898,713.63
  5. Step 5: Solve for x
    x = 8,843,898,713.63/122,963.64
  6. Step 6: Final answer
    x = 71,922.88

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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.