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Finding the Fourth Proportional to 37,899.86, 56,825.46 and 15,728.54

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Solution

The fourth proportional to 37,899.86, 56,825.46 and 15,728.54 is: 23,582.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,899.86 : 56,825.46 = 15,728.54 : x
  2. Step 2: Convert to fraction form
    37,899.86/56,825.46 = 15,728.54/x
  3. Step 3: Cross multiply
    37,899.86x = 56,825.46 × 15,728.54
  4. Step 4: Simplify right side
    37,899.86x = 893,781,236.50
  5. Step 5: Solve for x
    x = 893,781,236.50/37,899.86
  6. Step 6: Final answer
    x = 23,582.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.