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Finding the Fourth Proportional to 107,468, 161,210.64 and 33,596

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Solution

The fourth proportional to 107,468, 161,210.64 and 33,596 is: 50,396.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,468 : 161,210.64 = 33,596 : x
  2. Step 2: Convert to fraction form
    107,468/161,210.64 = 33,596/x
  3. Step 3: Cross multiply
    107,468x = 161,210.64 × 33,596
  4. Step 4: Simplify right side
    107,468x = 5,416,032,661.44
  5. Step 5: Solve for x
    x = 5,416,032,661.44/107,468
  6. Step 6: Final answer
    x = 50,396.70

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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.