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Finding the Fourth Proportional to 37,564.80, 51,834 and 20,797.76

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Solution

The fourth proportional to 37,564.80, 51,834 and 20,797.76 is: 28,697.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,564.80 : 51,834 = 20,797.76 : x
  2. Step 2: Convert to fraction form
    37,564.80/51,834 = 20,797.76/x
  3. Step 3: Cross multiply
    37,564.80x = 51,834 × 20,797.76
  4. Step 4: Simplify right side
    37,564.80x = 1,078,031,091.84
  5. Step 5: Solve for x
    x = 1,078,031,091.84/37,564.80
  6. Step 6: Final answer
    x = 28,697.91

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