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Finding the Fourth Proportional to 42,016, 57,983.30 and 23,154.34

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Solution

The fourth proportional to 42,016, 57,983.30 and 23,154.34 is: 31,953.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,016 : 57,983.30 = 23,154.34 : x
  2. Step 2: Convert to fraction form
    42,016/57,983.30 = 23,154.34/x
  3. Step 3: Cross multiply
    42,016x = 57,983.30 × 23,154.34
  4. Step 4: Simplify right side
    42,016x = 1,342,565,042.52
  5. Step 5: Solve for x
    x = 1,342,565,042.52/42,016
  6. Step 6: Final answer
    x = 31,953.66

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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.