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Finding the Fourth Proportional to 106,956, 160,308.72 and 36,773.28

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Solution

The fourth proportional to 106,956, 160,308.72 and 36,773.28 is: 55,116.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,956 : 160,308.72 = 36,773.28 : x
  2. Step 2: Convert to fraction form
    106,956/160,308.72 = 36,773.28/x
  3. Step 3: Cross multiply
    106,956x = 160,308.72 × 36,773.28
  4. Step 4: Simplify right side
    106,956x = 5,895,077,447.00
  5. Step 5: Solve for x
    x = 5,895,077,447.00/106,956
  6. Step 6: Final answer
    x = 55,116.85

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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.