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Finding the Fourth Proportional to 30,857.68, 46,286.52 and 8,670.16

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Solution

The fourth proportional to 30,857.68, 46,286.52 and 8,670.16 is: 13,005.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,857.68 : 46,286.52 = 8,670.16 : x
  2. Step 2: Convert to fraction form
    30,857.68/46,286.52 = 8,670.16/x
  3. Step 3: Cross multiply
    30,857.68x = 46,286.52 × 8,670.16
  4. Step 4: Simplify right side
    30,857.68x = 401,311,534.24
  5. Step 5: Solve for x
    x = 401,311,534.24/30,857.68
  6. Step 6: Final answer
    x = 13,005.24

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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.