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Finding the Fourth Proportional to 40,874.40, 56,408.34 and 22,969.35

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Solution

The fourth proportional to 40,874.40, 56,408.34 and 22,969.35 is: 31,698.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,874.40 : 56,408.34 = 22,969.35 : x
  2. Step 2: Convert to fraction form
    40,874.40/56,408.34 = 22,969.35/x
  3. Step 3: Cross multiply
    40,874.40x = 56,408.34 × 22,969.35
  4. Step 4: Simplify right side
    40,874.40x = 1,295,662,904.38
  5. Step 5: Solve for x
    x = 1,295,662,904.38/40,874.40
  6. Step 6: Final answer
    x = 31,698.64

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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.