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Finding the Fourth Proportional to 107,643.84, 161,472.36 and 32,769.54

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Solution

The fourth proportional to 107,643.84, 161,472.36 and 32,769.54 is: 49,156.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,643.84 : 161,472.36 = 32,769.54 : x
  2. Step 2: Convert to fraction form
    107,643.84/161,472.36 = 32,769.54/x
  3. Step 3: Cross multiply
    107,643.84x = 161,472.36 × 32,769.54
  4. Step 4: Simplify right side
    107,643.84x = 5,291,374,536.49
  5. Step 5: Solve for x
    x = 5,291,374,536.49/107,643.84
  6. Step 6: Final answer
    x = 49,156.32

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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.