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Finding the Fourth Proportional to 29,516.27, 44,280.05 and 9,531.11

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Solution

The fourth proportional to 29,516.27, 44,280.05 and 9,531.11 is: 14,298.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,516.27 : 44,280.05 = 9,531.11 : x
  2. Step 2: Convert to fraction form
    29,516.27/44,280.05 = 9,531.11/x
  3. Step 3: Cross multiply
    29,516.27x = 44,280.05 × 9,531.11
  4. Step 4: Simplify right side
    29,516.27x = 422,038,027.36
  5. Step 5: Solve for x
    x = 422,038,027.36/29,516.27
  6. Step 6: Final answer
    x = 14,298.49

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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.