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Finding the Fourth Proportional to 50,641.86, 75,970.08 and 15,584.52

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Solution

The fourth proportional to 50,641.86, 75,970.08 and 15,584.52 is: 23,379.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,641.86 : 75,970.08 = 15,584.52 : x
  2. Step 2: Convert to fraction form
    50,641.86/75,970.08 = 15,584.52/x
  3. Step 3: Cross multiply
    50,641.86x = 75,970.08 × 15,584.52
  4. Step 4: Simplify right side
    50,641.86x = 1,183,957,231.16
  5. Step 5: Solve for x
    x = 1,183,957,231.16/50,641.86
  6. Step 6: Final answer
    x = 23,379.02

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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.