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Finding the Fourth Proportional to 32,231.19, 44,478.84 and 18,084

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Solution

The fourth proportional to 32,231.19, 44,478.84 and 18,084 is: 24,955.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,231.19 : 44,478.84 = 18,084 : x
  2. Step 2: Convert to fraction form
    32,231.19/44,478.84 = 18,084/x
  3. Step 3: Cross multiply
    32,231.19x = 44,478.84 × 18,084
  4. Step 4: Simplify right side
    32,231.19x = 804,355,342.56
  5. Step 5: Solve for x
    x = 804,355,342.56/32,231.19
  6. Step 6: Final answer
    x = 24,955.81

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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.