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Finding the Fourth Proportional to 31,057.64, 46,594.14 and 10,283.24

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Solution

The fourth proportional to 31,057.64, 46,594.14 and 10,283.24 is: 15,427.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,057.64 : 46,594.14 = 10,283.24 : x
  2. Step 2: Convert to fraction form
    31,057.64/46,594.14 = 10,283.24/x
  3. Step 3: Cross multiply
    31,057.64x = 46,594.14 × 10,283.24
  4. Step 4: Simplify right side
    31,057.64x = 479,138,724.21
  5. Step 5: Solve for x
    x = 479,138,724.21/31,057.64
  6. Step 6: Final answer
    x = 15,427.40

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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.