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Finding the Fourth Proportional to 31,759.84, 47,655.84 and 15,116.77

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Solution

The fourth proportional to 31,759.84, 47,655.84 and 15,116.77 is: 22,682.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,759.84 : 47,655.84 = 15,116.77 : x
  2. Step 2: Convert to fraction form
    31,759.84/47,655.84 = 15,116.77/x
  3. Step 3: Cross multiply
    31,759.84x = 47,655.84 × 15,116.77
  4. Step 4: Simplify right side
    31,759.84x = 720,402,372.44
  5. Step 5: Solve for x
    x = 720,402,372.44/31,759.84
  6. Step 6: Final answer
    x = 22,682.81

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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.