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Finding the Fourth Proportional to 29,470.73, 44,206.49 and 8,410.76

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Solution

The fourth proportional to 29,470.73, 44,206.49 and 8,410.76 is: 12,616.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,470.73 : 44,206.49 = 8,410.76 : x
  2. Step 2: Convert to fraction form
    29,470.73/44,206.49 = 8,410.76/x
  3. Step 3: Cross multiply
    29,470.73x = 44,206.49 × 8,410.76
  4. Step 4: Simplify right side
    29,470.73x = 371,809,977.83
  5. Step 5: Solve for x
    x = 371,809,977.83/29,470.73
  6. Step 6: Final answer
    x = 12,616.25

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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.