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Finding the Fourth Proportional to 30,994.12, 46,497.74 and 10,217.16

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Solution

The fourth proportional to 30,994.12, 46,497.74 and 10,217.16 is: 15,327.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,994.12 : 46,497.74 = 10,217.16 : x
  2. Step 2: Convert to fraction form
    30,994.12/46,497.74 = 10,217.16/x
  3. Step 3: Cross multiply
    30,994.12x = 46,497.74 × 10,217.16
  4. Step 4: Simplify right side
    30,994.12x = 475,074,849.22
  5. Step 5: Solve for x
    x = 475,074,849.22/30,994.12
  6. Step 6: Final answer
    x = 15,327.90

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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.