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Finding the Fourth Proportional to 31,369.34, 47,050.14 and 9,182.48

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Solution

The fourth proportional to 31,369.34, 47,050.14 and 9,182.48 is: 13,772.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,369.34 : 47,050.14 = 9,182.48 : x
  2. Step 2: Convert to fraction form
    31,369.34/47,050.14 = 9,182.48/x
  3. Step 3: Cross multiply
    31,369.34x = 47,050.14 × 9,182.48
  4. Step 4: Simplify right side
    31,369.34x = 432,036,969.55
  5. Step 5: Solve for x
    x = 432,036,969.55/31,369.34
  6. Step 6: Final answer
    x = 13,772.59

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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.