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Finding the Fourth Proportional to 37,774.27, 52,107.78 and 23,429.15

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Solution

The fourth proportional to 37,774.27, 52,107.78 and 23,429.15 is: 32,319.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,774.27 : 52,107.78 = 23,429.15 : x
  2. Step 2: Convert to fraction form
    37,774.27/52,107.78 = 23,429.15/x
  3. Step 3: Cross multiply
    37,774.27x = 52,107.78 × 23,429.15
  4. Step 4: Simplify right side
    37,774.27x = 1,220,840,950.62
  5. Step 5: Solve for x
    x = 1,220,840,950.62/37,774.27
  6. Step 6: Final answer
    x = 32,319.38

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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.