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Finding the Fourth Proportional to 40,400, 55,752 and 23,636.24

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Solution

The fourth proportional to 40,400, 55,752 and 23,636.24 is: 32,618.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,400 : 55,752 = 23,636.24 : x
  2. Step 2: Convert to fraction form
    40,400/55,752 = 23,636.24/x
  3. Step 3: Cross multiply
    40,400x = 55,752 × 23,636.24
  4. Step 4: Simplify right side
    40,400x = 1,317,767,652.48
  5. Step 5: Solve for x
    x = 1,317,767,652.48/40,400
  6. Step 6: Final answer
    x = 32,618.01

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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.