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Finding the Fourth Proportional to 24,342.30, 32,396.24 and 24,342.30

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Solution

The fourth proportional to 24,342.30, 32,396.24 and 24,342.30 is: 32,396.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,342.30 : 32,396.24 = 24,342.30 : x
  2. Step 2: Convert to fraction form
    24,342.30/32,396.24 = 24,342.30/x
  3. Step 3: Cross multiply
    24,342.30x = 32,396.24 × 24,342.30
  4. Step 4: Simplify right side
    24,342.30x = 788,598,871.24
  5. Step 5: Solve for x
    x = 788,598,871.24/24,342.30
  6. Step 6: Final answer
    x = 32,396.24

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.