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Finding the Fourth Proportional to 29,689.50, 40,971.57 and 16,077.69

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Solution

The fourth proportional to 29,689.50, 40,971.57 and 16,077.69 is: 22,187.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,689.50 : 40,971.57 = 16,077.69 : x
  2. Step 2: Convert to fraction form
    29,689.50/40,971.57 = 16,077.69/x
  3. Step 3: Cross multiply
    29,689.50x = 40,971.57 × 16,077.69
  4. Step 4: Simplify right side
    29,689.50x = 658,728,201.27
  5. Step 5: Solve for x
    x = 658,728,201.27/29,689.50
  6. Step 6: Final answer
    x = 22,187.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.