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Finding the Fourth Proportional to 32,986.50, 45,524.25 and 18,085.38

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Solution

The fourth proportional to 32,986.50, 45,524.25 and 18,085.38 is: 24,959.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,986.50 : 45,524.25 = 18,085.38 : x
  2. Step 2: Convert to fraction form
    32,986.50/45,524.25 = 18,085.38/x
  3. Step 3: Cross multiply
    32,986.50x = 45,524.25 × 18,085.38
  4. Step 4: Simplify right side
    32,986.50x = 823,323,360.47
  5. Step 5: Solve for x
    x = 823,323,360.47/32,986.50
  6. Step 6: Final answer
    x = 24,959.40

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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.