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Finding the Fourth Proportional to 30,716.48, 46,068.96 and 10,994.24

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Solution

The fourth proportional to 30,716.48, 46,068.96 and 10,994.24 is: 16,489.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,716.48 : 46,068.96 = 10,994.24 : x
  2. Step 2: Convert to fraction form
    30,716.48/46,068.96 = 10,994.24/x
  3. Step 3: Cross multiply
    30,716.48x = 46,068.96 × 10,994.24
  4. Step 4: Simplify right side
    30,716.48x = 506,493,202.79
  5. Step 5: Solve for x
    x = 506,493,202.79/30,716.48
  6. Step 6: Final answer
    x = 16,489.30

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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.