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Finding the Fourth Proportional to 68,096.32, 102,144.99 and 23,723.00

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Solution

The fourth proportional to 68,096.32, 102,144.99 and 23,723.00 is: 35,584.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,096.32 : 102,144.99 = 23,723.00 : x
  2. Step 2: Convert to fraction form
    68,096.32/102,144.99 = 23,723.00/x
  3. Step 3: Cross multiply
    68,096.32x = 102,144.99 × 23,723.00
  4. Step 4: Simplify right side
    68,096.32x = 2,423,185,779.61
  5. Step 5: Solve for x
    x = 2,423,185,779.61/68,096.32
  6. Step 6: Final answer
    x = 35,584.68

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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.