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Finding the Fourth Proportional to 32,030.38, 44,203.41 and 17,692.21

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Solution

The fourth proportional to 32,030.38, 44,203.41 and 17,692.21 is: 24,416.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,030.38 : 44,203.41 = 17,692.21 : x
  2. Step 2: Convert to fraction form
    32,030.38/44,203.41 = 17,692.21/x
  3. Step 3: Cross multiply
    32,030.38x = 44,203.41 × 17,692.21
  4. Step 4: Simplify right side
    32,030.38x = 782,056,012.44
  5. Step 5: Solve for x
    x = 782,056,012.44/32,030.38
  6. Step 6: Final answer
    x = 24,416.07

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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.