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Finding the Fourth Proportional to 47,728.50, 71,578.98 and 14,440.74

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Solution

The fourth proportional to 47,728.50, 71,578.98 and 14,440.74 is: 21,656.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,728.50 : 71,578.98 = 14,440.74 : x
  2. Step 2: Convert to fraction form
    47,728.50/71,578.98 = 14,440.74/x
  3. Step 3: Cross multiply
    47,728.50x = 71,578.98 × 14,440.74
  4. Step 4: Simplify right side
    47,728.50x = 1,033,653,439.65
  5. Step 5: Solve for x
    x = 1,033,653,439.65/47,728.50
  6. Step 6: Final answer
    x = 21,656.94

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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.