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Finding the Fourth Proportional to 107,877.84, 161,801.14 and 32,977.88

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Solution

The fourth proportional to 107,877.84, 161,801.14 and 32,977.88 is: 49,462.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,877.84 : 161,801.14 = 32,977.88 : x
  2. Step 2: Convert to fraction form
    107,877.84/161,801.14 = 32,977.88/x
  3. Step 3: Cross multiply
    107,877.84x = 161,801.14 × 32,977.88
  4. Step 4: Simplify right side
    107,877.84x = 5,335,858,578.78
  5. Step 5: Solve for x
    x = 5,335,858,578.78/107,877.84
  6. Step 6: Final answer
    x = 49,462.05

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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.