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Finding the Fourth Proportional to 35,385.75, 48,832.70 and 20,278.08

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Solution

The fourth proportional to 35,385.75, 48,832.70 and 20,278.08 is: 27,983.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,385.75 : 48,832.70 = 20,278.08 : x
  2. Step 2: Convert to fraction form
    35,385.75/48,832.70 = 20,278.08/x
  3. Step 3: Cross multiply
    35,385.75x = 48,832.70 × 20,278.08
  4. Step 4: Simplify right side
    35,385.75x = 990,233,397.22
  5. Step 5: Solve for x
    x = 990,233,397.22/35,385.75
  6. Step 6: Final answer
    x = 27,983.96

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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.