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Finding the Fourth Proportional to 30,683.50, 46,025.81 and 9,623.07

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Solution

The fourth proportional to 30,683.50, 46,025.81 and 9,623.07 is: 14,434.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,683.50 : 46,025.81 = 9,623.07 : x
  2. Step 2: Convert to fraction form
    30,683.50/46,025.81 = 9,623.07/x
  3. Step 3: Cross multiply
    30,683.50x = 46,025.81 × 9,623.07
  4. Step 4: Simplify right side
    30,683.50x = 442,909,591.44
  5. Step 5: Solve for x
    x = 442,909,591.44/30,683.50
  6. Step 6: Final answer
    x = 14,434.78

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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.