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Finding the Fourth Proportional to 106,892.46, 160,337.01 and 36,772.38

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Solution

The fourth proportional to 106,892.46, 160,337.01 and 36,772.38 is: 55,157.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,892.46 : 160,337.01 = 36,772.38 : x
  2. Step 2: Convert to fraction form
    106,892.46/160,337.01 = 36,772.38/x
  3. Step 3: Cross multiply
    106,892.46x = 160,337.01 × 36,772.38
  4. Step 4: Simplify right side
    106,892.46x = 5,895,973,459.78
  5. Step 5: Solve for x
    x = 5,895,973,459.78/106,892.46
  6. Step 6: Final answer
    x = 55,157.99

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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.