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Finding the Fourth Proportional to 32,977.95, 49,466.49 and 8,017.92

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Solution

The fourth proportional to 32,977.95, 49,466.49 and 8,017.92 is: 12,026.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,977.95 : 49,466.49 = 8,017.92 : x
  2. Step 2: Convert to fraction form
    32,977.95/49,466.49 = 8,017.92/x
  3. Step 3: Cross multiply
    32,977.95x = 49,466.49 × 8,017.92
  4. Step 4: Simplify right side
    32,977.95x = 396,618,359.50
  5. Step 5: Solve for x
    x = 396,618,359.50/32,977.95
  6. Step 6: Final answer
    x = 12,026.77

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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.