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Finding the Fourth Proportional to 107,840.60, 161,785.20 and 32,964.20

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Solution

The fourth proportional to 107,840.60, 161,785.20 and 32,964.20 is: 49,453.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,840.60 : 161,785.20 = 32,964.20 : x
  2. Step 2: Convert to fraction form
    107,840.60/161,785.20 = 32,964.20/x
  3. Step 3: Cross multiply
    107,840.60x = 161,785.20 × 32,964.20
  4. Step 4: Simplify right side
    107,840.60x = 5,333,119,689.84
  5. Step 5: Solve for x
    x = 5,333,119,689.84/107,840.60
  6. Step 6: Final answer
    x = 49,453.73

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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.