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Finding the Fourth Proportional to 29,959.92, 44,928.84 and 9,965.76

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Solution

The fourth proportional to 29,959.92, 44,928.84 and 9,965.76 is: 14,944.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,959.92 : 44,928.84 = 9,965.76 : x
  2. Step 2: Convert to fraction form
    29,959.92/44,928.84 = 9,965.76/x
  3. Step 3: Cross multiply
    29,959.92x = 44,928.84 × 9,965.76
  4. Step 4: Simplify right side
    29,959.92x = 447,750,036.52
  5. Step 5: Solve for x
    x = 447,750,036.52/29,959.92
  6. Step 6: Final answer
    x = 14,944.97

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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.