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Finding the Fourth Proportional to 68,323, 102,537.42 and 47,409.88

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Solution

The fourth proportional to 68,323, 102,537.42 and 47,409.88 is: 71,151.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,323 : 102,537.42 = 47,409.88 : x
  2. Step 2: Convert to fraction form
    68,323/102,537.42 = 47,409.88/x
  3. Step 3: Cross multiply
    68,323x = 102,537.42 × 47,409.88
  4. Step 4: Simplify right side
    68,323x = 4,861,286,777.71
  5. Step 5: Solve for x
    x = 4,861,286,777.71/68,323
  6. Step 6: Final answer
    x = 71,151.54

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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.