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Finding the Fourth Proportional to 106,716.70, 160,054.50 and 49,774.88

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Solution

The fourth proportional to 106,716.70, 160,054.50 and 49,774.88 is: 74,652.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,716.70 : 160,054.50 = 49,774.88 : x
  2. Step 2: Convert to fraction form
    106,716.70/160,054.50 = 49,774.88/x
  3. Step 3: Cross multiply
    106,716.70x = 160,054.50 × 49,774.88
  4. Step 4: Simplify right side
    106,716.70x = 7,966,693,530.96
  5. Step 5: Solve for x
    x = 7,966,693,530.96/106,716.70
  6. Step 6: Final answer
    x = 74,652.74

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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.