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Finding the Fourth Proportional to 131,796.82, 197,695.86 and 31,957.01

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Solution

The fourth proportional to 131,796.82, 197,695.86 and 31,957.01 is: 47,935.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,796.82 : 197,695.86 = 31,957.01 : x
  2. Step 2: Convert to fraction form
    131,796.82/197,695.86 = 31,957.01/x
  3. Step 3: Cross multiply
    131,796.82x = 197,695.86 × 31,957.01
  4. Step 4: Simplify right side
    131,796.82x = 6,317,767,921.64
  5. Step 5: Solve for x
    x = 6,317,767,921.64/131,796.82
  6. Step 6: Final answer
    x = 47,935.66

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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.