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Finding the Fourth Proportional to 31,406.40, 47,109.60 and 10,346.40

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Solution

The fourth proportional to 31,406.40, 47,109.60 and 10,346.40 is: 15,519.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,406.40 : 47,109.60 = 10,346.40 : x
  2. Step 2: Convert to fraction form
    31,406.40/47,109.60 = 10,346.40/x
  3. Step 3: Cross multiply
    31,406.40x = 47,109.60 × 10,346.40
  4. Step 4: Simplify right side
    31,406.40x = 487,414,765.44
  5. Step 5: Solve for x
    x = 487,414,765.44/31,406.40
  6. Step 6: Final answer
    x = 15,519.60

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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.