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Finding the Fourth Proportional to 70,705.82, 106,036.32 and 23,947.76

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Solution

The fourth proportional to 70,705.82, 106,036.32 and 23,947.76 is: 35,914.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,705.82 : 106,036.32 = 23,947.76 : x
  2. Step 2: Convert to fraction form
    70,705.82/106,036.32 = 23,947.76/x
  3. Step 3: Cross multiply
    70,705.82x = 106,036.32 × 23,947.76
  4. Step 4: Simplify right side
    70,705.82x = 2,539,332,342.64
  5. Step 5: Solve for x
    x = 2,539,332,342.64/70,705.82
  6. Step 6: Final answer
    x = 35,914.05

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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.