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Finding the Fourth Proportional to 51,584.72, 77,262.77 and 39,650.63

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Solution

The fourth proportional to 51,584.72, 77,262.77 and 39,650.63 is: 59,388.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,584.72 : 77,262.77 = 39,650.63 : x
  2. Step 2: Convert to fraction form
    51,584.72/77,262.77 = 39,650.63/x
  3. Step 3: Cross multiply
    51,584.72x = 77,262.77 × 39,650.63
  4. Step 4: Simplify right side
    51,584.72x = 3,063,517,218.86
  5. Step 5: Solve for x
    x = 3,063,517,218.86/51,584.72
  6. Step 6: Final answer
    x = 59,388.07

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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.