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Finding the Fourth Proportional to 57,137.44, 78,823.50 and 37,000.80

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Solution

The fourth proportional to 57,137.44, 78,823.50 and 37,000.80 is: 51,044.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,137.44 : 78,823.50 = 37,000.80 : x
  2. Step 2: Convert to fraction form
    57,137.44/78,823.50 = 37,000.80/x
  3. Step 3: Cross multiply
    57,137.44x = 78,823.50 × 37,000.80
  4. Step 4: Simplify right side
    57,137.44x = 2,916,532,854.39
  5. Step 5: Solve for x
    x = 2,916,532,854.39/57,137.44
  6. Step 6: Final answer
    x = 51,044.17

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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.