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Finding the Fourth Proportional to 48,971.49, 67,595.10 and 31,978.38

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Solution

The fourth proportional to 48,971.49, 67,595.10 and 31,978.38 is: 44,139.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,971.49 : 67,595.10 = 31,978.38 : x
  2. Step 2: Convert to fraction form
    48,971.49/67,595.10 = 31,978.38/x
  3. Step 3: Cross multiply
    48,971.49x = 67,595.10 × 31,978.38
  4. Step 4: Simplify right side
    48,971.49x = 2,161,581,793.94
  5. Step 5: Solve for x
    x = 2,161,581,793.94/48,971.49
  6. Step 6: Final answer
    x = 44,139.60

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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.