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Finding the Fourth Proportional to 77,298.45, 115,900.29 and 32,899.92

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Solution

The fourth proportional to 77,298.45, 115,900.29 and 32,899.92 is: 49,329.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,298.45 : 115,900.29 = 32,899.92 : x
  2. Step 2: Convert to fraction form
    77,298.45/115,900.29 = 32,899.92/x
  3. Step 3: Cross multiply
    77,298.45x = 115,900.29 × 32,899.92
  4. Step 4: Simplify right side
    77,298.45x = 3,813,110,268.98
  5. Step 5: Solve for x
    x = 3,813,110,268.98/77,298.45
  6. Step 6: Final answer
    x = 49,329.71

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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.