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Finding the Fourth Proportional to 131,873.82, 197,807.94 and 32,034.48

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Solution

The fourth proportional to 131,873.82, 197,807.94 and 32,034.48 is: 48,051.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,873.82 : 197,807.94 = 32,034.48 : x
  2. Step 2: Convert to fraction form
    131,873.82/197,807.94 = 32,034.48/x
  3. Step 3: Cross multiply
    131,873.82x = 197,807.94 × 32,034.48
  4. Step 4: Simplify right side
    131,873.82x = 6,336,674,497.77
  5. Step 5: Solve for x
    x = 6,336,674,497.77/131,873.82
  6. Step 6: Final answer
    x = 48,051.04

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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.