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Finding the Fourth Proportional to 68,046.12, 101,930.94 and 35,145

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Solution

The fourth proportional to 68,046.12, 101,930.94 and 35,145 is: 52,646.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,046.12 : 101,930.94 = 35,145 : x
  2. Step 2: Convert to fraction form
    68,046.12/101,930.94 = 35,145/x
  3. Step 3: Cross multiply
    68,046.12x = 101,930.94 × 35,145
  4. Step 4: Simplify right side
    68,046.12x = 3,582,362,886.30
  5. Step 5: Solve for x
    x = 3,582,362,886.30/68,046.12
  6. Step 6: Final answer
    x = 52,646.10

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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.