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Finding the Fourth Proportional to 107,857.40, 161,757.30 and 32,977.40

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Solution

The fourth proportional to 107,857.40, 161,757.30 and 32,977.40 is: 49,457.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,857.40 : 161,757.30 = 32,977.40 : x
  2. Step 2: Convert to fraction form
    107,857.40/161,757.30 = 32,977.40/x
  3. Step 3: Cross multiply
    107,857.40x = 161,757.30 × 32,977.40
  4. Step 4: Simplify right side
    107,857.40x = 5,334,335,185.02
  5. Step 5: Solve for x
    x = 5,334,335,185.02/107,857.40
  6. Step 6: Final answer
    x = 49,457.29

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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.