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Finding the Fourth Proportional to 30,778.66, 46,151.58 and 15,972.67

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Solution

The fourth proportional to 30,778.66, 46,151.58 and 15,972.67 is: 23,950.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,778.66 : 46,151.58 = 15,972.67 : x
  2. Step 2: Convert to fraction form
    30,778.66/46,151.58 = 15,972.67/x
  3. Step 3: Cross multiply
    30,778.66x = 46,151.58 × 15,972.67
  4. Step 4: Simplify right side
    30,778.66x = 737,163,957.32
  5. Step 5: Solve for x
    x = 737,163,957.32/30,778.66
  6. Step 6: Final answer
    x = 23,950.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.