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Finding the Fourth Proportional to 30,833.64, 46,250.43 and 10,057.14

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Solution

The fourth proportional to 30,833.64, 46,250.43 and 10,057.14 is: 15,085.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,833.64 : 46,250.43 = 10,057.14 : x
  2. Step 2: Convert to fraction form
    30,833.64/46,250.43 = 10,057.14/x
  3. Step 3: Cross multiply
    30,833.64x = 46,250.43 × 10,057.14
  4. Step 4: Simplify right side
    30,833.64x = 465,147,049.57
  5. Step 5: Solve for x
    x = 465,147,049.57/30,833.64
  6. Step 6: Final answer
    x = 15,085.70

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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.