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Finding the Fourth Proportional to 32,998.87, 49,497.80 and 8,038.96

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Solution

The fourth proportional to 32,998.87, 49,497.80 and 8,038.96 is: 12,058.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,998.87 : 49,497.80 = 8,038.96 : x
  2. Step 2: Convert to fraction form
    32,998.87/49,497.80 = 8,038.96/x
  3. Step 3: Cross multiply
    32,998.87x = 49,497.80 × 8,038.96
  4. Step 4: Simplify right side
    32,998.87x = 397,910,834.29
  5. Step 5: Solve for x
    x = 397,910,834.29/32,998.87
  6. Step 6: Final answer
    x = 12,058.32

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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.