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Finding the Fourth Proportional to 31,805.24, 47,634.03 and 30,698.10

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Solution

The fourth proportional to 31,805.24, 47,634.03 and 30,698.10 is: 45,975.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,805.24 : 47,634.03 = 30,698.10 : x
  2. Step 2: Convert to fraction form
    31,805.24/47,634.03 = 30,698.10/x
  3. Step 3: Cross multiply
    31,805.24x = 47,634.03 × 30,698.10
  4. Step 4: Simplify right side
    31,805.24x = 1,462,274,216.34
  5. Step 5: Solve for x
    x = 1,462,274,216.34/31,805.24
  6. Step 6: Final answer
    x = 45,975.90

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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.