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Finding the Fourth Proportional to 34,066.80, 51,105 and 11,876.94

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Solution

The fourth proportional to 34,066.80, 51,105 and 11,876.94 is: 17,817.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,066.80 : 51,105 = 11,876.94 : x
  2. Step 2: Convert to fraction form
    34,066.80/51,105 = 11,876.94/x
  3. Step 3: Cross multiply
    34,066.80x = 51,105 × 11,876.94
  4. Step 4: Simplify right side
    34,066.80x = 606,971,018.70
  5. Step 5: Solve for x
    x = 606,971,018.70/34,066.80
  6. Step 6: Final answer
    x = 17,817.08

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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.