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Finding the Fourth Proportional to 51,665, 77,498.22 and 14,729

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Solution

The fourth proportional to 51,665, 77,498.22 and 14,729 is: 22,093.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,665 : 77,498.22 = 14,729 : x
  2. Step 2: Convert to fraction form
    51,665/77,498.22 = 14,729/x
  3. Step 3: Cross multiply
    51,665x = 77,498.22 × 14,729
  4. Step 4: Simplify right side
    51,665x = 1,141,471,282.38
  5. Step 5: Solve for x
    x = 1,141,471,282.38/51,665
  6. Step 6: Final answer
    x = 22,093.71

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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.