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Finding the Fourth Proportional to 32,989, 45,524.82 and 18,085

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Solution

The fourth proportional to 32,989, 45,524.82 and 18,085 is: 24,957.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,989 : 45,524.82 = 18,085 : x
  2. Step 2: Convert to fraction form
    32,989/45,524.82 = 18,085/x
  3. Step 3: Cross multiply
    32,989x = 45,524.82 × 18,085
  4. Step 4: Simplify right side
    32,989x = 823,316,369.70
  5. Step 5: Solve for x
    x = 823,316,369.70/32,989
  6. Step 6: Final answer
    x = 24,957.30

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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.