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Finding the Fourth Proportional to 32,037.41, 48,050.64 and 8,658.38

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Solution

The fourth proportional to 32,037.41, 48,050.64 and 8,658.38 is: 12,986.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,037.41 : 48,050.64 = 8,658.38 : x
  2. Step 2: Convert to fraction form
    32,037.41/48,050.64 = 8,658.38/x
  3. Step 3: Cross multiply
    32,037.41x = 48,050.64 × 8,658.38
  4. Step 4: Simplify right side
    32,037.41x = 416,040,700.36
  5. Step 5: Solve for x
    x = 416,040,700.36/32,037.41
  6. Step 6: Final answer
    x = 12,986.09

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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.