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Finding the Fourth Proportional to 30,683, 46,025.06 and 9,622.57

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Solution

The fourth proportional to 30,683, 46,025.06 and 9,622.57 is: 14,434.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,683 : 46,025.06 = 9,622.57 : x
  2. Step 2: Convert to fraction form
    30,683/46,025.06 = 9,622.57/x
  3. Step 3: Cross multiply
    30,683x = 46,025.06 × 9,622.57
  4. Step 4: Simplify right side
    30,683x = 442,879,361.60
  5. Step 5: Solve for x
    x = 442,879,361.60/30,683
  6. Step 6: Final answer
    x = 14,434.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.