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Finding the Fourth Proportional to 51,704, 77,556 and 14,768

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Solution

The fourth proportional to 51,704, 77,556 and 14,768 is: 22,152

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,704 : 77,556 = 14,768 : x
  2. Step 2: Convert to fraction form
    51,704/77,556 = 14,768/x
  3. Step 3: Cross multiply
    51,704x = 77,556 × 14,768
  4. Step 4: Simplify right side
    51,704x = 1,145,347,008
  5. Step 5: Solve for x
    x = 1,145,347,008/51,704
  6. Step 6: Final answer
    x = 22,152

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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.