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Finding the Fourth Proportional to 41,289.32, 56,978.94 and 22,426.44

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Solution

The fourth proportional to 41,289.32, 56,978.94 and 22,426.44 is: 30,948.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,289.32 : 56,978.94 = 22,426.44 : x
  2. Step 2: Convert to fraction form
    41,289.32/56,978.94 = 22,426.44/x
  3. Step 3: Cross multiply
    41,289.32x = 56,978.94 × 22,426.44
  4. Step 4: Simplify right side
    41,289.32x = 1,277,834,779.17
  5. Step 5: Solve for x
    x = 1,277,834,779.17/41,289.32
  6. Step 6: Final answer
    x = 30,948.32

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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.