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Finding the Fourth Proportional to 29,503.10, 44,238.25 and 9,770.90

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Solution

The fourth proportional to 29,503.10, 44,238.25 and 9,770.90 is: 14,650.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,503.10 : 44,238.25 = 9,770.90 : x
  2. Step 2: Convert to fraction form
    29,503.10/44,238.25 = 9,770.90/x
  3. Step 3: Cross multiply
    29,503.10x = 44,238.25 × 9,770.90
  4. Step 4: Simplify right side
    29,503.10x = 432,247,516.93
  5. Step 5: Solve for x
    x = 432,247,516.93/29,503.10
  6. Step 6: Final answer
    x = 14,650.92

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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.