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Finding the Fourth Proportional to 35,200.82, 48,577.13 and 21,057

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Solution

The fourth proportional to 35,200.82, 48,577.13 and 21,057 is: 29,058.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,200.82 : 48,577.13 = 21,057 : x
  2. Step 2: Convert to fraction form
    35,200.82/48,577.13 = 21,057/x
  3. Step 3: Cross multiply
    35,200.82x = 48,577.13 × 21,057
  4. Step 4: Simplify right side
    35,200.82x = 1,022,888,521.13
  5. Step 5: Solve for x
    x = 1,022,888,521.13/35,200.82
  6. Step 6: Final answer
    x = 29,058.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.