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Finding the Fourth Proportional to 51,728, 77,592 and 14,794.88

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Solution

The fourth proportional to 51,728, 77,592 and 14,794.88 is: 22,192.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,728 : 77,592 = 14,794.88 : x
  2. Step 2: Convert to fraction form
    51,728/77,592 = 14,794.88/x
  3. Step 3: Cross multiply
    51,728x = 77,592 × 14,794.88
  4. Step 4: Simplify right side
    51,728x = 1,147,964,328.96
  5. Step 5: Solve for x
    x = 1,147,964,328.96/51,728
  6. Step 6: Final answer
    x = 22,192.32

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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.