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Finding the Fourth Proportional to 31,595.70, 47,420.82 and 12,886.05

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Solution

The fourth proportional to 31,595.70, 47,420.82 and 12,886.05 is: 19,340.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,595.70 : 47,420.82 = 12,886.05 : x
  2. Step 2: Convert to fraction form
    31,595.70/47,420.82 = 12,886.05/x
  3. Step 3: Cross multiply
    31,595.70x = 47,420.82 × 12,886.05
  4. Step 4: Simplify right side
    31,595.70x = 611,067,057.56
  5. Step 5: Solve for x
    x = 611,067,057.56/31,595.70
  6. Step 6: Final answer
    x = 19,340.20

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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.