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Finding the Fourth Proportional to 30,691.38, 46,046.79 and 10,969.50

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Solution

The fourth proportional to 30,691.38, 46,046.79 and 10,969.50 is: 16,457.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,691.38 : 46,046.79 = 10,969.50 : x
  2. Step 2: Convert to fraction form
    30,691.38/46,046.79 = 10,969.50/x
  3. Step 3: Cross multiply
    30,691.38x = 46,046.79 × 10,969.50
  4. Step 4: Simplify right side
    30,691.38x = 505,110,262.91
  5. Step 5: Solve for x
    x = 505,110,262.91/30,691.38
  6. Step 6: Final answer
    x = 16,457.72

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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.