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Finding the Fourth Proportional to 29,979.50, 44,971.43 and 11,511.50

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Solution

The fourth proportional to 29,979.50, 44,971.43 and 11,511.50 is: 17,268.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,979.50 : 44,971.43 = 11,511.50 : x
  2. Step 2: Convert to fraction form
    29,979.50/44,971.43 = 11,511.50/x
  3. Step 3: Cross multiply
    29,979.50x = 44,971.43 × 11,511.50
  4. Step 4: Simplify right side
    29,979.50x = 517,688,616.45
  5. Step 5: Solve for x
    x = 517,688,616.45/29,979.50
  6. Step 6: Final answer
    x = 17,268.09

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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.