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Finding the Fourth Proportional to 31,437.88, 47,156.83 and 8,064.32

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Solution

The fourth proportional to 31,437.88, 47,156.83 and 8,064.32 is: 12,096.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,437.88 : 47,156.83 = 8,064.32 : x
  2. Step 2: Convert to fraction form
    31,437.88/47,156.83 = 8,064.32/x
  3. Step 3: Cross multiply
    31,437.88x = 47,156.83 × 8,064.32
  4. Step 4: Simplify right side
    31,437.88x = 380,287,511.36
  5. Step 5: Solve for x
    x = 380,287,511.36/31,437.88
  6. Step 6: Final answer
    x = 12,096.48

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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.