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Finding the Fourth Proportional to 30,950.38, 46,407.76 and 16,506.87

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Solution

The fourth proportional to 30,950.38, 46,407.76 and 16,506.87 is: 24,750.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,950.38 : 46,407.76 = 16,506.87 : x
  2. Step 2: Convert to fraction form
    30,950.38/46,407.76 = 16,506.87/x
  3. Step 3: Cross multiply
    30,950.38x = 46,407.76 × 16,506.87
  4. Step 4: Simplify right side
    30,950.38x = 766,046,850.99
  5. Step 5: Solve for x
    x = 766,046,850.99/30,950.38
  6. Step 6: Final answer
    x = 24,750.81

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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.