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Finding the Fourth Proportional to 24,523.20, 34,401.60 and 24,523.20

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Solution

The fourth proportional to 24,523.20, 34,401.60 and 24,523.20 is: 34,401.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,523.20 : 34,401.60 = 24,523.20 : x
  2. Step 2: Convert to fraction form
    24,523.20/34,401.60 = 24,523.20/x
  3. Step 3: Cross multiply
    24,523.20x = 34,401.60 × 24,523.20
  4. Step 4: Simplify right side
    24,523.20x = 843,637,317.12
  5. Step 5: Solve for x
    x = 843,637,317.12/24,523.20
  6. Step 6: Final answer
    x = 34,401.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.