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Finding the Fourth Proportional to 68,224.41, 102,293.67 and 20,823.74

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Solution

The fourth proportional to 68,224.41, 102,293.67 and 20,823.74 is: 31,222.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,224.41 : 102,293.67 = 20,823.74 : x
  2. Step 2: Convert to fraction form
    68,224.41/102,293.67 = 20,823.74/x
  3. Step 3: Cross multiply
    68,224.41x = 102,293.67 × 20,823.74
  4. Step 4: Simplify right side
    68,224.41x = 2,130,136,276.26
  5. Step 5: Solve for x
    x = 2,130,136,276.26/68,224.41
  6. Step 6: Final answer
    x = 31,222.49

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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.