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Finding the Fourth Proportional to 74,102.84, 102,236.68 and 41,833.64

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Solution

The fourth proportional to 74,102.84, 102,236.68 and 41,833.64 is: 57,716.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,102.84 : 102,236.68 = 41,833.64 : x
  2. Step 2: Convert to fraction form
    74,102.84/102,236.68 = 41,833.64/x
  3. Step 3: Cross multiply
    74,102.84x = 102,236.68 × 41,833.64
  4. Step 4: Simplify right side
    74,102.84x = 4,276,932,465.92
  5. Step 5: Solve for x
    x = 4,276,932,465.92/74,102.84
  6. Step 6: Final answer
    x = 57,716.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.