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Finding the Fourth Proportional to 68,738.24, 103,085.40 and 21,980

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Solution

The fourth proportional to 68,738.24, 103,085.40 and 21,980 is: 32,962.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,738.24 : 103,085.40 = 21,980 : x
  2. Step 2: Convert to fraction form
    68,738.24/103,085.40 = 21,980/x
  3. Step 3: Cross multiply
    68,738.24x = 103,085.40 × 21,980
  4. Step 4: Simplify right side
    68,738.24x = 2,265,817,092
  5. Step 5: Solve for x
    x = 2,265,817,092/68,738.24
  6. Step 6: Final answer
    x = 32,962.98

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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.