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Finding the Fourth Proportional to 30,931.69, 46,402.26 and 11,214.85

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Solution

The fourth proportional to 30,931.69, 46,402.26 and 11,214.85 is: 16,823.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,931.69 : 46,402.26 = 11,214.85 : x
  2. Step 2: Convert to fraction form
    30,931.69/46,402.26 = 11,214.85/x
  3. Step 3: Cross multiply
    30,931.69x = 46,402.26 × 11,214.85
  4. Step 4: Simplify right side
    30,931.69x = 520,394,385.56
  5. Step 5: Solve for x
    x = 520,394,385.56/30,931.69
  6. Step 6: Final answer
    x = 16,823.99

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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.