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Finding the Fourth Proportional to 40,408.64, 55,763.52 and 23,641.76

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Solution

The fourth proportional to 40,408.64, 55,763.52 and 23,641.76 is: 32,625.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,408.64 : 55,763.52 = 23,641.76 : x
  2. Step 2: Convert to fraction form
    40,408.64/55,763.52 = 23,641.76/x
  3. Step 3: Cross multiply
    40,408.64x = 55,763.52 × 23,641.76
  4. Step 4: Simplify right side
    40,408.64x = 1,318,347,756.60
  5. Step 5: Solve for x
    x = 1,318,347,756.60/40,408.64
  6. Step 6: Final answer
    x = 32,625.39

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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.