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Finding the Fourth Proportional to 76,995.87, 115,473.76 and 32,599.77

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Solution

The fourth proportional to 76,995.87, 115,473.76 and 32,599.77 is: 48,891.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,995.87 : 115,473.76 = 32,599.77 : x
  2. Step 2: Convert to fraction form
    76,995.87/115,473.76 = 32,599.77/x
  3. Step 3: Cross multiply
    76,995.87x = 115,473.76 × 32,599.77
  4. Step 4: Simplify right side
    76,995.87x = 3,764,418,017.04
  5. Step 5: Solve for x
    x = 3,764,418,017.04/76,995.87
  6. Step 6: Final answer
    x = 48,891.17

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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.