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Finding the Fourth Proportional to 29,857.62, 44,776.93 and 9,863.40

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Solution

The fourth proportional to 29,857.62, 44,776.93 and 9,863.40 is: 14,791.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,857.62 : 44,776.93 = 9,863.40 : x
  2. Step 2: Convert to fraction form
    29,857.62/44,776.93 = 9,863.40/x
  3. Step 3: Cross multiply
    29,857.62x = 44,776.93 × 9,863.40
  4. Step 4: Simplify right side
    29,857.62x = 441,652,771.36
  5. Step 5: Solve for x
    x = 441,652,771.36/29,857.62
  6. Step 6: Final answer
    x = 14,791.96

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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.