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Finding the Fourth Proportional to 56,107.38, 77,429.80 and 30,958.50

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Solution

The fourth proportional to 56,107.38, 77,429.80 and 30,958.50 is: 42,723.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,107.38 : 77,429.80 = 30,958.50 : x
  2. Step 2: Convert to fraction form
    56,107.38/77,429.80 = 30,958.50/x
  3. Step 3: Cross multiply
    56,107.38x = 77,429.80 × 30,958.50
  4. Step 4: Simplify right side
    56,107.38x = 2,397,109,998.75
  5. Step 5: Solve for x
    x = 2,397,109,998.75/56,107.38
  6. Step 6: Final answer
    x = 42,723.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.