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Finding the Fourth Proportional to 32,977.46, 49,465.50 and 8,017.64

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Solution

The fourth proportional to 32,977.46, 49,465.50 and 8,017.64 is: 12,026.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,977.46 : 49,465.50 = 8,017.64 : x
  2. Step 2: Convert to fraction form
    32,977.46/49,465.50 = 8,017.64/x
  3. Step 3: Cross multiply
    32,977.46x = 49,465.50 × 8,017.64
  4. Step 4: Simplify right side
    32,977.46x = 396,596,571.42
  5. Step 5: Solve for x
    x = 396,596,571.42/32,977.46
  6. Step 6: Final answer
    x = 12,026.29

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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.