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Finding the Fourth Proportional to 35,530.52, 53,249.64 and 14,446.05

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Solution

The fourth proportional to 35,530.52, 53,249.64 and 14,446.05 is: 21,650.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,530.52 : 53,249.64 = 14,446.05 : x
  2. Step 2: Convert to fraction form
    35,530.52/53,249.64 = 14,446.05/x
  3. Step 3: Cross multiply
    35,530.52x = 53,249.64 × 14,446.05
  4. Step 4: Simplify right side
    35,530.52x = 769,246,961.92
  5. Step 5: Solve for x
    x = 769,246,961.92/35,530.52
  6. Step 6: Final answer
    x = 21,650.32

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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.