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Finding the Fourth Proportional to 48,996.44, 67,603.26 and 31,085

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Solution

The fourth proportional to 48,996.44, 67,603.26 and 31,085 is: 42,889.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,996.44 : 67,603.26 = 31,085 : x
  2. Step 2: Convert to fraction form
    48,996.44/67,603.26 = 31,085/x
  3. Step 3: Cross multiply
    48,996.44x = 67,603.26 × 31,085
  4. Step 4: Simplify right side
    48,996.44x = 2,101,447,337.10
  5. Step 5: Solve for x
    x = 2,101,447,337.10/48,996.44
  6. Step 6: Final answer
    x = 42,889.80

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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.