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Finding the Fourth Proportional to 35,783.46, 53,683.83 and 12,409.38

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Solution

The fourth proportional to 35,783.46, 53,683.83 and 12,409.38 is: 18,617.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,783.46 : 53,683.83 = 12,409.38 : x
  2. Step 2: Convert to fraction form
    35,783.46/53,683.83 = 12,409.38/x
  3. Step 3: Cross multiply
    35,783.46x = 53,683.83 × 12,409.38
  4. Step 4: Simplify right side
    35,783.46x = 666,183,046.33
  5. Step 5: Solve for x
    x = 666,183,046.33/35,783.46
  6. Step 6: Final answer
    x = 18,617.07

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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.