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Finding the Fourth Proportional to 68,146.38, 102,236.58 and 23,773.50

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Solution

The fourth proportional to 68,146.38, 102,236.58 and 23,773.50 is: 35,666.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,146.38 : 102,236.58 = 23,773.50 : x
  2. Step 2: Convert to fraction form
    68,146.38/102,236.58 = 23,773.50/x
  3. Step 3: Cross multiply
    68,146.38x = 102,236.58 × 23,773.50
  4. Step 4: Simplify right side
    68,146.38x = 2,430,521,334.63
  5. Step 5: Solve for x
    x = 2,430,521,334.63/68,146.38
  6. Step 6: Final answer
    x = 35,666.18

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Why These Related Problems?

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