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Finding the Fourth Proportional to 32,441.16, 44,767.44 and 18,295.32

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Solution

The fourth proportional to 32,441.16, 44,767.44 and 18,295.32 is: 25,246.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,441.16 : 44,767.44 = 18,295.32 : x
  2. Step 2: Convert to fraction form
    32,441.16/44,767.44 = 18,295.32/x
  3. Step 3: Cross multiply
    32,441.16x = 44,767.44 × 18,295.32
  4. Step 4: Simplify right side
    32,441.16x = 819,034,640.38
  5. Step 5: Solve for x
    x = 819,034,640.38/32,441.16
  6. Step 6: Final answer
    x = 25,246.77

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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.