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Finding the Fourth Proportional to 31,536.93, 47,304 and 7,843.98

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Solution

The fourth proportional to 31,536.93, 47,304 and 7,843.98 is: 11,765.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,536.93 : 47,304 = 7,843.98 : x
  2. Step 2: Convert to fraction form
    31,536.93/47,304 = 7,843.98/x
  3. Step 3: Cross multiply
    31,536.93x = 47,304 × 7,843.98
  4. Step 4: Simplify right side
    31,536.93x = 371,051,629.92
  5. Step 5: Solve for x
    x = 371,051,629.92/31,536.93
  6. Step 6: Final answer
    x = 11,765.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.