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Finding the Fourth Proportional to 51,665.50, 77,498.97 and 14,729.50

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Solution

The fourth proportional to 51,665.50, 77,498.97 and 14,729.50 is: 22,094.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,665.50 : 77,498.97 = 14,729.50 : x
  2. Step 2: Convert to fraction form
    51,665.50/77,498.97 = 14,729.50/x
  3. Step 3: Cross multiply
    51,665.50x = 77,498.97 × 14,729.50
  4. Step 4: Simplify right side
    51,665.50x = 1,141,521,078.62
  5. Step 5: Solve for x
    x = 1,141,521,078.62/51,665.50
  6. Step 6: Final answer
    x = 22,094.46

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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.