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Finding the Fourth Proportional to 107,624.25, 161,462.30 and 33,752.25

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Solution

The fourth proportional to 107,624.25, 161,462.30 and 33,752.25 is: 50,636.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,624.25 : 161,462.30 = 33,752.25 : x
  2. Step 2: Convert to fraction form
    107,624.25/161,462.30 = 33,752.25/x
  3. Step 3: Cross multiply
    107,624.25x = 161,462.30 × 33,752.25
  4. Step 4: Simplify right side
    107,624.25x = 5,449,715,746.41
  5. Step 5: Solve for x
    x = 5,449,715,746.41/107,624.25
  6. Step 6: Final answer
    x = 50,636.50

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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.