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Finding the Fourth Proportional to 37,029, 51,100.02 and 20,262

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Solution

The fourth proportional to 37,029, 51,100.02 and 20,262 is: 27,961.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,029 : 51,100.02 = 20,262 : x
  2. Step 2: Convert to fraction form
    37,029/51,100.02 = 20,262/x
  3. Step 3: Cross multiply
    37,029x = 51,100.02 × 20,262
  4. Step 4: Simplify right side
    37,029x = 1,035,388,605.24
  5. Step 5: Solve for x
    x = 1,035,388,605.24/37,029
  6. Step 6: Final answer
    x = 27,961.56

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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.