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Finding the Fourth Proportional to 38,050.94, 57,078.45 and 15,866.58

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Solution

The fourth proportional to 38,050.94, 57,078.45 and 15,866.58 is: 23,800.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,050.94 : 57,078.45 = 15,866.58 : x
  2. Step 2: Convert to fraction form
    38,050.94/57,078.45 = 15,866.58/x
  3. Step 3: Cross multiply
    38,050.94x = 57,078.45 × 15,866.58
  4. Step 4: Simplify right side
    38,050.94x = 905,639,793.20
  5. Step 5: Solve for x
    x = 905,639,793.20/38,050.94
  6. Step 6: Final answer
    x = 23,800.72

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