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Finding the Fourth Proportional to 29,551.72, 44,318.02 and 9,825

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Solution

The fourth proportional to 29,551.72, 44,318.02 and 9,825 is: 14,734.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,551.72 : 44,318.02 = 9,825 : x
  2. Step 2: Convert to fraction form
    29,551.72/44,318.02 = 9,825/x
  3. Step 3: Cross multiply
    29,551.72x = 44,318.02 × 9,825
  4. Step 4: Simplify right side
    29,551.72x = 435,424,546.50
  5. Step 5: Solve for x
    x = 435,424,546.50/29,551.72
  6. Step 6: Final answer
    x = 14,734.32

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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.