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Finding the Fourth Proportional to 72,983.70, 100,726.47 and 41,151.96

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Solution

The fourth proportional to 72,983.70, 100,726.47 and 41,151.96 is: 56,794.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,983.70 : 100,726.47 = 41,151.96 : x
  2. Step 2: Convert to fraction form
    72,983.70/100,726.47 = 41,151.96/x
  3. Step 3: Cross multiply
    72,983.70x = 100,726.47 × 41,151.96
  4. Step 4: Simplify right side
    72,983.70x = 4,145,091,664.38
  5. Step 5: Solve for x
    x = 4,145,091,664.38/72,983.70
  6. Step 6: Final answer
    x = 56,794.76

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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.