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Finding the Fourth Proportional to 30,778.67, 46,151.58 and 15,972.68

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Solution

The fourth proportional to 30,778.67, 46,151.58 and 15,972.68 is: 23,950.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,778.67 : 46,151.58 = 15,972.68 : x
  2. Step 2: Convert to fraction form
    30,778.67/46,151.58 = 15,972.68/x
  3. Step 3: Cross multiply
    30,778.67x = 46,151.58 × 15,972.68
  4. Step 4: Simplify right side
    30,778.67x = 737,164,418.83
  5. Step 5: Solve for x
    x = 737,164,418.83/30,778.67
  6. Step 6: Final answer
    x = 23,950.50

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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.