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Finding the Fourth Proportional to 31,353.24, 47,030.94 and 10,293.24

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Solution

The fourth proportional to 31,353.24, 47,030.94 and 10,293.24 is: 15,440.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,353.24 : 47,030.94 = 10,293.24 : x
  2. Step 2: Convert to fraction form
    31,353.24/47,030.94 = 10,293.24/x
  3. Step 3: Cross multiply
    31,353.24x = 47,030.94 × 10,293.24
  4. Step 4: Simplify right side
    31,353.24x = 484,100,752.85
  5. Step 5: Solve for x
    x = 484,100,752.85/31,353.24
  6. Step 6: Final answer
    x = 15,440.21

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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.