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Finding the Fourth Proportional to 75,709.82, 113,585.21 and 28,964.22

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Solution

The fourth proportional to 75,709.82, 113,585.21 and 28,964.22 is: 43,454.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,709.82 : 113,585.21 = 28,964.22 : x
  2. Step 2: Convert to fraction form
    75,709.82/113,585.21 = 28,964.22/x
  3. Step 3: Cross multiply
    75,709.82x = 113,585.21 × 28,964.22
  4. Step 4: Simplify right side
    75,709.82x = 3,289,907,011.19
  5. Step 5: Solve for x
    x = 3,289,907,011.19/75,709.82
  6. Step 6: Final answer
    x = 43,454.17

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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.