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Finding the Fourth Proportional to 31,773.50, 47,659.79 and 7,758.11

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Solution

The fourth proportional to 31,773.50, 47,659.79 and 7,758.11 is: 11,637.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,773.50 : 47,659.79 = 7,758.11 : x
  2. Step 2: Convert to fraction form
    31,773.50/47,659.79 = 7,758.11/x
  3. Step 3: Cross multiply
    31,773.50x = 47,659.79 × 7,758.11
  4. Step 4: Simplify right side
    31,773.50x = 369,750,031.94
  5. Step 5: Solve for x
    x = 369,750,031.94/31,773.50
  6. Step 6: Final answer
    x = 11,637.06

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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.