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Finding the Fourth Proportional to 29,382.88, 44,069.82 and 9,661.78

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Solution

The fourth proportional to 29,382.88, 44,069.82 and 9,661.78 is: 14,491.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,382.88 : 44,069.82 = 9,661.78 : x
  2. Step 2: Convert to fraction form
    29,382.88/44,069.82 = 9,661.78/x
  3. Step 3: Cross multiply
    29,382.88x = 44,069.82 × 9,661.78
  4. Step 4: Simplify right side
    29,382.88x = 425,792,905.48
  5. Step 5: Solve for x
    x = 425,792,905.48/29,382.88
  6. Step 6: Final answer
    x = 14,491.19

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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.