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Finding the Fourth Proportional to 31,907.40, 47,857.05 and 8,535.66

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Solution

The fourth proportional to 31,907.40, 47,857.05 and 8,535.66 is: 12,802.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,907.40 : 47,857.05 = 8,535.66 : x
  2. Step 2: Convert to fraction form
    31,907.40/47,857.05 = 8,535.66/x
  3. Step 3: Cross multiply
    31,907.40x = 47,857.05 × 8,535.66
  4. Step 4: Simplify right side
    31,907.40x = 408,491,507.40
  5. Step 5: Solve for x
    x = 408,491,507.40/31,907.40
  6. Step 6: Final answer
    x = 12,802.41

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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.