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Finding the Fourth Proportional to 41,222.70, 61,838.98 and 14,563.17

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Solution

The fourth proportional to 41,222.70, 61,838.98 and 14,563.17 is: 21,846.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,222.70 : 61,838.98 = 14,563.17 : x
  2. Step 2: Convert to fraction form
    41,222.70/61,838.98 = 14,563.17/x
  3. Step 3: Cross multiply
    41,222.70x = 61,838.98 × 14,563.17
  4. Step 4: Simplify right side
    41,222.70x = 900,571,541.96
  5. Step 5: Solve for x
    x = 900,571,541.96/41,222.70
  6. Step 6: Final answer
    x = 21,846.50

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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.