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Finding the Fourth Proportional to 37,030.22, 51,101.49 and 20,034.42

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Solution

The fourth proportional to 37,030.22, 51,101.49 and 20,034.42 is: 27,647.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,030.22 : 51,101.49 = 20,034.42 : x
  2. Step 2: Convert to fraction form
    37,030.22/51,101.49 = 20,034.42/x
  3. Step 3: Cross multiply
    37,030.22x = 51,101.49 × 20,034.42
  4. Step 4: Simplify right side
    37,030.22x = 1,023,788,713.29
  5. Step 5: Solve for x
    x = 1,023,788,713.29/37,030.22
  6. Step 6: Final answer
    x = 27,647.38

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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.