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Finding the Fourth Proportional to 31,643.46, 47,453.58 and 14,125.32

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Solution

The fourth proportional to 31,643.46, 47,453.58 and 14,125.32 is: 21,182.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,643.46 : 47,453.58 = 14,125.32 : x
  2. Step 2: Convert to fraction form
    31,643.46/47,453.58 = 14,125.32/x
  3. Step 3: Cross multiply
    31,643.46x = 47,453.58 × 14,125.32
  4. Step 4: Simplify right side
    31,643.46x = 670,297,002.65
  5. Step 5: Solve for x
    x = 670,297,002.65/31,643.46
  6. Step 6: Final answer
    x = 21,182.80

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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.