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Finding the Fourth Proportional to 30,224.77, 45,337.11 and 11,500.36

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Solution

The fourth proportional to 30,224.77, 45,337.11 and 11,500.36 is: 17,250.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,224.77 : 45,337.11 = 11,500.36 : x
  2. Step 2: Convert to fraction form
    30,224.77/45,337.11 = 11,500.36/x
  3. Step 3: Cross multiply
    30,224.77x = 45,337.11 × 11,500.36
  4. Step 4: Simplify right side
    30,224.77x = 521,393,086.36
  5. Step 5: Solve for x
    x = 521,393,086.36/30,224.77
  6. Step 6: Final answer
    x = 17,250.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.