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Finding the Fourth Proportional to 74,836, 103,273.82 and 41,302

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Solution

The fourth proportional to 74,836, 103,273.82 and 41,302 is: 56,996.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,836 : 103,273.82 = 41,302 : x
  2. Step 2: Convert to fraction form
    74,836/103,273.82 = 41,302/x
  3. Step 3: Cross multiply
    74,836x = 103,273.82 × 41,302
  4. Step 4: Simplify right side
    74,836x = 4,265,415,313.64
  5. Step 5: Solve for x
    x = 4,265,415,313.64/74,836
  6. Step 6: Final answer
    x = 56,996.84

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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.