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Finding the Fourth Proportional to 32,431.46, 44,755.34 and 18,284.20

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Solution

The fourth proportional to 32,431.46, 44,755.34 and 18,284.20 is: 25,232.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,431.46 : 44,755.34 = 18,284.20 : x
  2. Step 2: Convert to fraction form
    32,431.46/44,755.34 = 18,284.20/x
  3. Step 3: Cross multiply
    32,431.46x = 44,755.34 × 18,284.20
  4. Step 4: Simplify right side
    32,431.46x = 818,315,384.32
  5. Step 5: Solve for x
    x = 818,315,384.32/32,431.46
  6. Step 6: Final answer
    x = 25,232.15

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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.