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Finding the Fourth Proportional to 107,682.50, 161,530.23 and 33,810.50

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Solution

The fourth proportional to 107,682.50, 161,530.23 and 33,810.50 is: 50,717.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,682.50 : 161,530.23 = 33,810.50 : x
  2. Step 2: Convert to fraction form
    107,682.50/161,530.23 = 33,810.50/x
  3. Step 3: Cross multiply
    107,682.50x = 161,530.23 × 33,810.50
  4. Step 4: Simplify right side
    107,682.50x = 5,461,417,841.42
  5. Step 5: Solve for x
    x = 5,461,417,841.42/107,682.50
  6. Step 6: Final answer
    x = 50,717.78

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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.