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Finding the Fourth Proportional to 35,071, 48,397.98 and 20,167

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Solution

The fourth proportional to 35,071, 48,397.98 and 20,167 is: 27,830.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,071 : 48,397.98 = 20,167 : x
  2. Step 2: Convert to fraction form
    35,071/48,397.98 = 20,167/x
  3. Step 3: Cross multiply
    35,071x = 48,397.98 × 20,167
  4. Step 4: Simplify right side
    35,071x = 976,042,062.66
  5. Step 5: Solve for x
    x = 976,042,062.66/35,071
  6. Step 6: Final answer
    x = 27,830.46

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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.