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Finding the Fourth Proportional to 29,458.66, 44,194.91 and 9,737.21

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Solution

The fourth proportional to 29,458.66, 44,194.91 and 9,737.21 is: 14,608.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,458.66 : 44,194.91 = 9,737.21 : x
  2. Step 2: Convert to fraction form
    29,458.66/44,194.91 = 9,737.21/x
  3. Step 3: Cross multiply
    29,458.66x = 44,194.91 × 9,737.21
  4. Step 4: Simplify right side
    29,458.66x = 430,335,181.40
  5. Step 5: Solve for x
    x = 430,335,181.40/29,458.66
  6. Step 6: Final answer
    x = 14,608.11

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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.