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Finding the Fourth Proportional to 35,077.12, 52,635.12 and 14,299

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Solution

The fourth proportional to 35,077.12, 52,635.12 and 14,299 is: 21,456.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,077.12 : 52,635.12 = 14,299 : x
  2. Step 2: Convert to fraction form
    35,077.12/52,635.12 = 14,299/x
  3. Step 3: Cross multiply
    35,077.12x = 52,635.12 × 14,299
  4. Step 4: Simplify right side
    35,077.12x = 752,629,580.88
  5. Step 5: Solve for x
    x = 752,629,580.88/35,077.12
  6. Step 6: Final answer
    x = 21,456.42

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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.