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Finding the Fourth Proportional to 30,711.12, 46,057.08 and 9,930.32

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Solution

The fourth proportional to 30,711.12, 46,057.08 and 9,930.32 is: 14,892.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,711.12 : 46,057.08 = 9,930.32 : x
  2. Step 2: Convert to fraction form
    30,711.12/46,057.08 = 9,930.32/x
  3. Step 3: Cross multiply
    30,711.12x = 46,057.08 × 9,930.32
  4. Step 4: Simplify right side
    30,711.12x = 457,361,542.67
  5. Step 5: Solve for x
    x = 457,361,542.67/30,711.12
  6. Step 6: Final answer
    x = 14,892.38

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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.