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Finding the Fourth Proportional to 30,217.46, 45,324.63 and 9,156.65

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Solution

The fourth proportional to 30,217.46, 45,324.63 and 9,156.65 is: 13,734.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,217.46 : 45,324.63 = 9,156.65 : x
  2. Step 2: Convert to fraction form
    30,217.46/45,324.63 = 9,156.65/x
  3. Step 3: Cross multiply
    30,217.46x = 45,324.63 × 9,156.65
  4. Step 4: Simplify right side
    30,217.46x = 415,021,546.67
  5. Step 5: Solve for x
    x = 415,021,546.67/30,217.46
  6. Step 6: Final answer
    x = 13,734.50

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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.