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Finding the Fourth Proportional to 70,775.06, 106,179 and 24,027.94

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Solution

The fourth proportional to 70,775.06, 106,179 and 24,027.94 is: 36,047.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,775.06 : 106,179 = 24,027.94 : x
  2. Step 2: Convert to fraction form
    70,775.06/106,179 = 24,027.94/x
  3. Step 3: Cross multiply
    70,775.06x = 106,179 × 24,027.94
  4. Step 4: Simplify right side
    70,775.06x = 2,551,262,375.81
  5. Step 5: Solve for x
    x = 2,551,262,375.81/70,775.06
  6. Step 6: Final answer
    x = 36,047.48

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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.