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Finding the Fourth Proportional to 32,603.23, 48,904.82 and 9,229.67

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Solution

The fourth proportional to 32,603.23, 48,904.82 and 9,229.67 is: 13,844.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,603.23 : 48,904.82 = 9,229.67 : x
  2. Step 2: Convert to fraction form
    32,603.23/48,904.82 = 9,229.67/x
  3. Step 3: Cross multiply
    32,603.23x = 48,904.82 × 9,229.67
  4. Step 4: Simplify right side
    32,603.23x = 451,375,350.01
  5. Step 5: Solve for x
    x = 451,375,350.01/32,603.23
  6. Step 6: Final answer
    x = 13,844.50

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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.