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Finding the Fourth Proportional to 34,064.76, 51,097.34 and 11,878.03

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Solution

The fourth proportional to 34,064.76, 51,097.34 and 11,878.03 is: 17,817.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,064.76 : 51,097.34 = 11,878.03 : x
  2. Step 2: Convert to fraction form
    34,064.76/51,097.34 = 11,878.03/x
  3. Step 3: Cross multiply
    34,064.76x = 51,097.34 × 11,878.03
  4. Step 4: Simplify right side
    34,064.76x = 606,935,737.44
  5. Step 5: Solve for x
    x = 606,935,737.44/34,064.76
  6. Step 6: Final answer
    x = 17,817.11

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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.