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Finding the Fourth Proportional to 41,288.34, 56,978.55 and 22,425.45

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Solution

The fourth proportional to 41,288.34, 56,978.55 and 22,425.45 is: 30,947.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,288.34 : 56,978.55 = 22,425.45 : x
  2. Step 2: Convert to fraction form
    41,288.34/56,978.55 = 22,425.45/x
  3. Step 3: Cross multiply
    41,288.34x = 56,978.55 × 22,425.45
  4. Step 4: Simplify right side
    41,288.34x = 1,277,769,624.10
  5. Step 5: Solve for x
    x = 1,277,769,624.10/41,288.34
  6. Step 6: Final answer
    x = 30,947.47

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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.