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Finding the Fourth Proportional to 32,711.20, 49,083 and 12,989.32

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Solution

The fourth proportional to 32,711.20, 49,083 and 12,989.32 is: 19,490.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,711.20 : 49,083 = 12,989.32 : x
  2. Step 2: Convert to fraction form
    32,711.20/49,083 = 12,989.32/x
  3. Step 3: Cross multiply
    32,711.20x = 49,083 × 12,989.32
  4. Step 4: Simplify right side
    32,711.20x = 637,554,793.56
  5. Step 5: Solve for x
    x = 637,554,793.56/32,711.20
  6. Step 6: Final answer
    x = 19,490.41

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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.