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Finding the Fourth Proportional to 31,597.53, 47,359.84 and 11,863.50

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Solution

The fourth proportional to 31,597.53, 47,359.84 and 11,863.50 is: 17,781.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,597.53 : 47,359.84 = 11,863.50 : x
  2. Step 2: Convert to fraction form
    31,597.53/47,359.84 = 11,863.50/x
  3. Step 3: Cross multiply
    31,597.53x = 47,359.84 × 11,863.50
  4. Step 4: Simplify right side
    31,597.53x = 561,853,461.84
  5. Step 5: Solve for x
    x = 561,853,461.84/31,597.53
  6. Step 6: Final answer
    x = 17,781.56

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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.