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Finding the Fourth Proportional to 68,106.42, 102,133.71 and 31,144.50

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Solution

The fourth proportional to 68,106.42, 102,133.71 and 31,144.50 is: 46,704.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,106.42 : 102,133.71 = 31,144.50 : x
  2. Step 2: Convert to fraction form
    68,106.42/102,133.71 = 31,144.50/x
  3. Step 3: Cross multiply
    68,106.42x = 102,133.71 × 31,144.50
  4. Step 4: Simplify right side
    68,106.42x = 3,180,903,331.10
  5. Step 5: Solve for x
    x = 3,180,903,331.10/68,106.42
  6. Step 6: Final answer
    x = 46,704.90

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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.