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Finding the Fourth Proportional to 68,051.93, 102,077.91 and 23,678.64

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Solution

The fourth proportional to 68,051.93, 102,077.91 and 23,678.64 is: 35,517.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,051.93 : 102,077.91 = 23,678.64 : x
  2. Step 2: Convert to fraction form
    68,051.93/102,077.91 = 23,678.64/x
  3. Step 3: Cross multiply
    68,051.93x = 102,077.91 × 23,678.64
  4. Step 4: Simplify right side
    68,051.93x = 2,417,066,082.84
  5. Step 5: Solve for x
    x = 2,417,066,082.84/68,051.93
  6. Step 6: Final answer
    x = 35,517.97

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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.