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Finding the Fourth Proportional to 30,236.50, 45,349.89 and 21,444.76

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Solution

The fourth proportional to 30,236.50, 45,349.89 and 21,444.76 is: 32,163.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,236.50 : 45,349.89 = 21,444.76 : x
  2. Step 2: Convert to fraction form
    30,236.50/45,349.89 = 21,444.76/x
  3. Step 3: Cross multiply
    30,236.50x = 45,349.89 × 21,444.76
  4. Step 4: Simplify right side
    30,236.50x = 972,517,507.08
  5. Step 5: Solve for x
    x = 972,517,507.08/30,236.50
  6. Step 6: Final answer
    x = 32,163.69

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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.