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Finding the Fourth Proportional to 35,622.74, 53,452.34 and 14,578.34

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Solution

The fourth proportional to 35,622.74, 53,452.34 and 14,578.34 is: 21,874.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,622.74 : 53,452.34 = 14,578.34 : x
  2. Step 2: Convert to fraction form
    35,622.74/53,452.34 = 14,578.34/x
  3. Step 3: Cross multiply
    35,622.74x = 53,452.34 × 14,578.34
  4. Step 4: Simplify right side
    35,622.74x = 779,246,046.16
  5. Step 5: Solve for x
    x = 779,246,046.16/35,622.74
  6. Step 6: Final answer
    x = 21,874.96

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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.