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Finding the Fourth Proportional to 107,654, 161,507.10 and 33,782

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Solution

The fourth proportional to 107,654, 161,507.10 and 33,782 is: 50,681.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,654 : 161,507.10 = 33,782 : x
  2. Step 2: Convert to fraction form
    107,654/161,507.10 = 33,782/x
  3. Step 3: Cross multiply
    107,654x = 161,507.10 × 33,782
  4. Step 4: Simplify right side
    107,654x = 5,456,032,852.20
  5. Step 5: Solve for x
    x = 5,456,032,852.20/107,654
  6. Step 6: Final answer
    x = 50,681.19

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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.