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Finding the Fourth Proportional to 30,670.68, 46,014.40 and 10,951.24

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Solution

The fourth proportional to 30,670.68, 46,014.40 and 10,951.24 is: 16,429.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,670.68 : 46,014.40 = 10,951.24 : x
  2. Step 2: Convert to fraction form
    30,670.68/46,014.40 = 10,951.24/x
  3. Step 3: Cross multiply
    30,670.68x = 46,014.40 × 10,951.24
  4. Step 4: Simplify right side
    30,670.68x = 503,914,737.86
  5. Step 5: Solve for x
    x = 503,914,737.86/30,670.68
  6. Step 6: Final answer
    x = 16,429.85

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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.