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Finding the Fourth Proportional to 30,800.16, 42,523.20 and 23,712.96

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Solution

The fourth proportional to 30,800.16, 42,523.20 and 23,712.96 is: 32,738.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,800.16 : 42,523.20 = 23,712.96 : x
  2. Step 2: Convert to fraction form
    30,800.16/42,523.20 = 23,712.96/x
  3. Step 3: Cross multiply
    30,800.16x = 42,523.20 × 23,712.96
  4. Step 4: Simplify right side
    30,800.16x = 1,008,350,940.67
  5. Step 5: Solve for x
    x = 1,008,350,940.67/30,800.16
  6. Step 6: Final answer
    x = 32,738.50

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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.