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Finding the Fourth Proportional to 32,810.96, 49,187 and 12,019.92

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Solution

The fourth proportional to 32,810.96, 49,187 and 12,019.92 is: 18,019.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,810.96 : 49,187 = 12,019.92 : x
  2. Step 2: Convert to fraction form
    32,810.96/49,187 = 12,019.92/x
  3. Step 3: Cross multiply
    32,810.96x = 49,187 × 12,019.92
  4. Step 4: Simplify right side
    32,810.96x = 591,223,805.04
  5. Step 5: Solve for x
    x = 591,223,805.04/32,810.96
  6. Step 6: Final answer
    x = 18,019.09

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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.