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Finding the Fourth Proportional to 34,122.64, 51,172.52 and 13,057.78

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Solution

The fourth proportional to 34,122.64, 51,172.52 and 13,057.78 is: 19,582.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,122.64 : 51,172.52 = 13,057.78 : x
  2. Step 2: Convert to fraction form
    34,122.64/51,172.52 = 13,057.78/x
  3. Step 3: Cross multiply
    34,122.64x = 51,172.52 × 13,057.78
  4. Step 4: Simplify right side
    34,122.64x = 668,199,508.21
  5. Step 5: Solve for x
    x = 668,199,508.21/34,122.64
  6. Step 6: Final answer
    x = 19,582.29

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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.