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Finding the Fourth Proportional to 29,791.56, 44,692.83 and 9,802.20

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Solution

The fourth proportional to 29,791.56, 44,692.83 and 9,802.20 is: 14,705.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,791.56 : 44,692.83 = 9,802.20 : x
  2. Step 2: Convert to fraction form
    29,791.56/44,692.83 = 9,802.20/x
  3. Step 3: Cross multiply
    29,791.56x = 44,692.83 × 9,802.20
  4. Step 4: Simplify right side
    29,791.56x = 438,088,058.23
  5. Step 5: Solve for x
    x = 438,088,058.23/29,791.56
  6. Step 6: Final answer
    x = 14,705.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.