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Finding the Fourth Proportional to 57,050.88, 78,733.85 and 31,900.38

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Solution

The fourth proportional to 57,050.88, 78,733.85 and 31,900.38 is: 44,024.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,050.88 : 78,733.85 = 31,900.38 : x
  2. Step 2: Convert to fraction form
    57,050.88/78,733.85 = 31,900.38/x
  3. Step 3: Cross multiply
    57,050.88x = 78,733.85 × 31,900.38
  4. Step 4: Simplify right side
    57,050.88x = 2,511,639,733.86
  5. Step 5: Solve for x
    x = 2,511,639,733.86/57,050.88
  6. Step 6: Final answer
    x = 44,024.56

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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.