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Finding the Fourth Proportional to 30,934.70, 46,406.76 and 11,217.86

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Solution

The fourth proportional to 30,934.70, 46,406.76 and 11,217.86 is: 16,828.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,934.70 : 46,406.76 = 11,217.86 : x
  2. Step 2: Convert to fraction form
    30,934.70/46,406.76 = 11,217.86/x
  3. Step 3: Cross multiply
    30,934.70x = 46,406.76 × 11,217.86
  4. Step 4: Simplify right side
    30,934.70x = 520,584,536.73
  5. Step 5: Solve for x
    x = 520,584,536.73/30,934.70
  6. Step 6: Final answer
    x = 16,828.50

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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.