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Finding the Fourth Proportional to 107,424, 161,144.64 and 33,552

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Solution

The fourth proportional to 107,424, 161,144.64 and 33,552 is: 50,330.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,424 : 161,144.64 = 33,552 : x
  2. Step 2: Convert to fraction form
    107,424/161,144.64 = 33,552/x
  3. Step 3: Cross multiply
    107,424x = 161,144.64 × 33,552
  4. Step 4: Simplify right side
    107,424x = 5,406,724,961.28
  5. Step 5: Solve for x
    x = 5,406,724,961.28/107,424
  6. Step 6: Final answer
    x = 50,330.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.