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Finding the Fourth Proportional to 37,570.91, 51,847.85 and 20,803.91

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Solution

The fourth proportional to 37,570.91, 51,847.85 and 20,803.91 is: 28,709.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,570.91 : 51,847.85 = 20,803.91 : x
  2. Step 2: Convert to fraction form
    37,570.91/51,847.85 = 20,803.91/x
  3. Step 3: Cross multiply
    37,570.91x = 51,847.85 × 20,803.91
  4. Step 4: Simplify right side
    37,570.91x = 1,078,638,005.09
  5. Step 5: Solve for x
    x = 1,078,638,005.09/37,570.91
  6. Step 6: Final answer
    x = 28,709.39

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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.