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Finding the Fourth Proportional to 50,584.68, 75,876.98 and 15,045.86

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Solution

The fourth proportional to 50,584.68, 75,876.98 and 15,045.86 is: 22,568.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,584.68 : 75,876.98 = 15,045.86 : x
  2. Step 2: Convert to fraction form
    50,584.68/75,876.98 = 15,045.86/x
  3. Step 3: Cross multiply
    50,584.68x = 75,876.98 × 15,045.86
  4. Step 4: Simplify right side
    50,584.68x = 1,141,633,963.69
  5. Step 5: Solve for x
    x = 1,141,633,963.69/50,584.68
  6. Step 6: Final answer
    x = 22,568.77

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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.