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Finding the Fourth Proportional to 31,536.42, 47,303.25 and 7,843.47

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Solution

The fourth proportional to 31,536.42, 47,303.25 and 7,843.47 is: 11,764.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,536.42 : 47,303.25 = 7,843.47 : x
  2. Step 2: Convert to fraction form
    31,536.42/47,303.25 = 7,843.47/x
  3. Step 3: Cross multiply
    31,536.42x = 47,303.25 × 7,843.47
  4. Step 4: Simplify right side
    31,536.42x = 371,021,622.28
  5. Step 5: Solve for x
    x = 371,021,622.28/31,536.42
  6. Step 6: Final answer
    x = 11,764.86

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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.