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Finding the Fourth Proportional to 107,465, 161,206.14 and 33,593

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Solution

The fourth proportional to 107,465, 161,206.14 and 33,593 is: 50,392.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,465 : 161,206.14 = 33,593 : x
  2. Step 2: Convert to fraction form
    107,465/161,206.14 = 33,593/x
  3. Step 3: Cross multiply
    107,465x = 161,206.14 × 33,593
  4. Step 4: Simplify right side
    107,465x = 5,415,397,861.02
  5. Step 5: Solve for x
    x = 5,415,397,861.02/107,465
  6. Step 6: Final answer
    x = 50,392.20

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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.