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Finding the Fourth Proportional to 31,287.98, 46,932.00 and 7,914.41

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Solution

The fourth proportional to 31,287.98, 46,932.00 and 7,914.41 is: 11,871.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,287.98 : 46,932.00 = 7,914.41 : x
  2. Step 2: Convert to fraction form
    31,287.98/46,932.00 = 7,914.41/x
  3. Step 3: Cross multiply
    31,287.98x = 46,932.00 × 7,914.41
  4. Step 4: Simplify right side
    31,287.98x = 371,439,050.55
  5. Step 5: Solve for x
    x = 371,439,050.55/31,287.98
  6. Step 6: Final answer
    x = 11,871.62

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Why These Related Problems?

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