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Finding the Fourth Proportional to 29,164.50, 40,247.01 and 15,916.50

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Solution

The fourth proportional to 29,164.50, 40,247.01 and 15,916.50 is: 21,964.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,164.50 : 40,247.01 = 15,916.50 : x
  2. Step 2: Convert to fraction form
    29,164.50/40,247.01 = 15,916.50/x
  3. Step 3: Cross multiply
    29,164.50x = 40,247.01 × 15,916.50
  4. Step 4: Simplify right side
    29,164.50x = 640,591,534.67
  5. Step 5: Solve for x
    x = 640,591,534.67/29,164.50
  6. Step 6: Final answer
    x = 21,964.77

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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.