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Finding the Fourth Proportional to 34,151.36, 51,214.74 and 14,431.46

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Solution

The fourth proportional to 34,151.36, 51,214.74 and 14,431.46 is: 21,641.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,151.36 : 51,214.74 = 14,431.46 : x
  2. Step 2: Convert to fraction form
    34,151.36/51,214.74 = 14,431.46/x
  3. Step 3: Cross multiply
    34,151.36x = 51,214.74 × 14,431.46
  4. Step 4: Simplify right side
    34,151.36x = 739,103,599.76
  5. Step 5: Solve for x
    x = 739,103,599.76/34,151.36
  6. Step 6: Final answer
    x = 21,641.99

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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.