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Finding the Fourth Proportional to 31,570.74, 47,405.25 and 30,168.36

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Solution

The fourth proportional to 31,570.74, 47,405.25 and 30,168.36 is: 45,299.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,570.74 : 47,405.25 = 30,168.36 : x
  2. Step 2: Convert to fraction form
    31,570.74/47,405.25 = 30,168.36/x
  3. Step 3: Cross multiply
    31,570.74x = 47,405.25 × 30,168.36
  4. Step 4: Simplify right side
    31,570.74x = 1,430,138,647.89
  5. Step 5: Solve for x
    x = 1,430,138,647.89/31,570.74
  6. Step 6: Final answer
    x = 45,299.50

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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.