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Finding the Fourth Proportional to 32,998, 45,537.48 and 18,094

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Solution

The fourth proportional to 32,998, 45,537.48 and 18,094 is: 24,969.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,998 : 45,537.48 = 18,094 : x
  2. Step 2: Convert to fraction form
    32,998/45,537.48 = 18,094/x
  3. Step 3: Cross multiply
    32,998x = 45,537.48 × 18,094
  4. Step 4: Simplify right side
    32,998x = 823,955,163.12
  5. Step 5: Solve for x
    x = 823,955,163.12/32,998
  6. Step 6: Final answer
    x = 24,969.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.