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Finding the Fourth Proportional to 35,538.66, 53,249.64 and 12,152.34

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Solution

The fourth proportional to 35,538.66, 53,249.64 and 12,152.34 is: 18,208.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,538.66 : 53,249.64 = 12,152.34 : x
  2. Step 2: Convert to fraction form
    35,538.66/53,249.64 = 12,152.34/x
  3. Step 3: Cross multiply
    35,538.66x = 53,249.64 × 12,152.34
  4. Step 4: Simplify right side
    35,538.66x = 647,107,730.16
  5. Step 5: Solve for x
    x = 647,107,730.16/35,538.66
  6. Step 6: Final answer
    x = 18,208.56

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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.