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Finding the Fourth Proportional to 29,463.74, 44,196 and 8,403.78

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Solution

The fourth proportional to 29,463.74, 44,196 and 8,403.78 is: 12,605.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,463.74 : 44,196 = 8,403.78 : x
  2. Step 2: Convert to fraction form
    29,463.74/44,196 = 8,403.78/x
  3. Step 3: Cross multiply
    29,463.74x = 44,196 × 8,403.78
  4. Step 4: Simplify right side
    29,463.74x = 371,413,460.88
  5. Step 5: Solve for x
    x = 371,413,460.88/29,463.74
  6. Step 6: Final answer
    x = 12,605.78

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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.