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Finding the Fourth Proportional to 72,833.68, 100,510.38 and 41,012.86

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Solution

The fourth proportional to 72,833.68, 100,510.38 and 41,012.86 is: 56,597.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,833.68 : 100,510.38 = 41,012.86 : x
  2. Step 2: Convert to fraction form
    72,833.68/100,510.38 = 41,012.86/x
  3. Step 3: Cross multiply
    72,833.68x = 100,510.38 × 41,012.86
  4. Step 4: Simplify right side
    72,833.68x = 4,122,218,143.49
  5. Step 5: Solve for x
    x = 4,122,218,143.49/72,833.68
  6. Step 6: Final answer
    x = 56,597.69

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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.