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Finding the Fourth Proportional to 35,414, 48,871.05 and 21,083.66

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Solution

The fourth proportional to 35,414, 48,871.05 and 21,083.66 is: 29,095.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,414 : 48,871.05 = 21,083.66 : x
  2. Step 2: Convert to fraction form
    35,414/48,871.05 = 21,083.66/x
  3. Step 3: Cross multiply
    35,414x = 48,871.05 × 21,083.66
  4. Step 4: Simplify right side
    35,414x = 1,030,380,602.04
  5. Step 5: Solve for x
    x = 1,030,380,602.04/35,414
  6. Step 6: Final answer
    x = 29,095.29

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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.