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Finding the Fourth Proportional to 31,655.56, 43,682.84 and 17,312.60

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Solution

The fourth proportional to 31,655.56, 43,682.84 and 17,312.60 is: 23,890.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,655.56 : 43,682.84 = 17,312.60 : x
  2. Step 2: Convert to fraction form
    31,655.56/43,682.84 = 17,312.60/x
  3. Step 3: Cross multiply
    31,655.56x = 43,682.84 × 17,312.60
  4. Step 4: Simplify right side
    31,655.56x = 756,263,535.78
  5. Step 5: Solve for x
    x = 756,263,535.78/31,655.56
  6. Step 6: Final answer
    x = 23,890.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.