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Finding the Fourth Proportional to 31,586.45, 43,585.76 and 17,435.75

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Solution

The fourth proportional to 31,586.45, 43,585.76 and 17,435.75 is: 24,059.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,586.45 : 43,585.76 = 17,435.75 : x
  2. Step 2: Convert to fraction form
    31,586.45/43,585.76 = 17,435.75/x
  3. Step 3: Cross multiply
    31,586.45x = 43,585.76 × 17,435.75
  4. Step 4: Simplify right side
    31,586.45x = 759,950,240.58
  5. Step 5: Solve for x
    x = 759,950,240.58/31,586.45
  6. Step 6: Final answer
    x = 24,059.38

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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.