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Finding the Fourth Proportional to 68,152, 102,141.44 and 30,671.92

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Solution

The fourth proportional to 68,152, 102,141.44 and 30,671.92 is: 45,968.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,152 : 102,141.44 = 30,671.92 : x
  2. Step 2: Convert to fraction form
    68,152/102,141.44 = 30,671.92/x
  3. Step 3: Cross multiply
    68,152x = 102,141.44 × 30,671.92
  4. Step 4: Simplify right side
    68,152x = 3,132,874,076.36
  5. Step 5: Solve for x
    x = 3,132,874,076.36/68,152
  6. Step 6: Final answer
    x = 45,968.92

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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.