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Finding the Fourth Proportional to 72,836.79, 100,516.64 and 41,006.82

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Solution

The fourth proportional to 72,836.79, 100,516.64 and 41,006.82 is: 56,590.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,836.79 : 100,516.64 = 41,006.82 : x
  2. Step 2: Convert to fraction form
    72,836.79/100,516.64 = 41,006.82/x
  3. Step 3: Cross multiply
    72,836.79x = 100,516.64 × 41,006.82
  4. Step 4: Simplify right side
    72,836.79x = 4,121,867,763.48
  5. Step 5: Solve for x
    x = 4,121,867,763.48/72,836.79
  6. Step 6: Final answer
    x = 56,590.46

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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.