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Finding the Fourth Proportional to 34,077.66, 51,137.74 and 13,019.58

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Solution

The fourth proportional to 34,077.66, 51,137.74 and 13,019.58 is: 19,537.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,077.66 : 51,137.74 = 13,019.58 : x
  2. Step 2: Convert to fraction form
    34,077.66/51,137.74 = 13,019.58/x
  3. Step 3: Cross multiply
    34,077.66x = 51,137.74 × 13,019.58
  4. Step 4: Simplify right side
    34,077.66x = 665,791,896.95
  5. Step 5: Solve for x
    x = 665,791,896.95/34,077.66
  6. Step 6: Final answer
    x = 19,537.49

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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.