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Finding the Fourth Proportional to 68,119.92, 102,153.96 and 31,158

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Solution

The fourth proportional to 68,119.92, 102,153.96 and 31,158 is: 46,725.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,119.92 : 102,153.96 = 31,158 : x
  2. Step 2: Convert to fraction form
    68,119.92/102,153.96 = 31,158/x
  3. Step 3: Cross multiply
    68,119.92x = 102,153.96 × 31,158
  4. Step 4: Simplify right side
    68,119.92x = 3,182,913,085.68
  5. Step 5: Solve for x
    x = 3,182,913,085.68/68,119.92
  6. Step 6: Final answer
    x = 46,725.14

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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.