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Finding the Fourth Proportional to 51,673, 77,510.22 and 14,737

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Solution

The fourth proportional to 51,673, 77,510.22 and 14,737 is: 22,105.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,673 : 77,510.22 = 14,737 : x
  2. Step 2: Convert to fraction form
    51,673/77,510.22 = 14,737/x
  3. Step 3: Cross multiply
    51,673x = 77,510.22 × 14,737
  4. Step 4: Simplify right side
    51,673x = 1,142,268,112.14
  5. Step 5: Solve for x
    x = 1,142,268,112.14/51,673
  6. Step 6: Final answer
    x = 22,105.71

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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.