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Finding the Fourth Proportional to 31,917.75, 47,876.63 and 8,543.58

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Solution

The fourth proportional to 31,917.75, 47,876.63 and 8,543.58 is: 12,815.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,917.75 : 47,876.63 = 8,543.58 : x
  2. Step 2: Convert to fraction form
    31,917.75/47,876.63 = 8,543.58/x
  3. Step 3: Cross multiply
    31,917.75x = 47,876.63 × 8,543.58
  4. Step 4: Simplify right side
    31,917.75x = 409,037,775.82
  5. Step 5: Solve for x
    x = 409,037,775.82/31,917.75
  6. Step 6: Final answer
    x = 12,815.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.