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Finding the Fourth Proportional to 107,776.39, 161,664.62 and 32,896.95

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Solution

The fourth proportional to 107,776.39, 161,664.62 and 32,896.95 is: 49,345.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,776.39 : 161,664.62 = 32,896.95 : x
  2. Step 2: Convert to fraction form
    107,776.39/161,664.62 = 32,896.95/x
  3. Step 3: Cross multiply
    107,776.39x = 161,664.62 × 32,896.95
  4. Step 4: Simplify right side
    107,776.39x = 5,318,272,920.91
  5. Step 5: Solve for x
    x = 5,318,272,920.91/107,776.39
  6. Step 6: Final answer
    x = 49,345.44

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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.