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Finding the Fourth Proportional to 32,271.38, 44,534.22 and 17,735.74

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Solution

The fourth proportional to 32,271.38, 44,534.22 and 17,735.74 is: 24,475.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,271.38 : 44,534.22 = 17,735.74 : x
  2. Step 2: Convert to fraction form
    32,271.38/44,534.22 = 17,735.74/x
  3. Step 3: Cross multiply
    32,271.38x = 44,534.22 × 17,735.74
  4. Step 4: Simplify right side
    32,271.38x = 789,847,519.45
  5. Step 5: Solve for x
    x = 789,847,519.45/32,271.38
  6. Step 6: Final answer
    x = 24,475.17

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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.