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Finding the Fourth Proportional to 47,971.41, 71,957.16 and 17,992.50

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Solution

The fourth proportional to 47,971.41, 71,957.16 and 17,992.50 is: 26,988.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,971.41 : 71,957.16 = 17,992.50 : x
  2. Step 2: Convert to fraction form
    47,971.41/71,957.16 = 17,992.50/x
  3. Step 3: Cross multiply
    47,971.41x = 71,957.16 × 17,992.50
  4. Step 4: Simplify right side
    47,971.41x = 1,294,689,201.30
  5. Step 5: Solve for x
    x = 1,294,689,201.30/47,971.41
  6. Step 6: Final answer
    x = 26,988.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.