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Finding the Fourth Proportional to 30,683.88, 46,026.43 and 9,623.48

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Solution

The fourth proportional to 30,683.88, 46,026.43 and 9,623.48 is: 14,435.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,683.88 : 46,026.43 = 9,623.48 : x
  2. Step 2: Convert to fraction form
    30,683.88/46,026.43 = 9,623.48/x
  3. Step 3: Cross multiply
    30,683.88x = 46,026.43 × 9,623.48
  4. Step 4: Simplify right side
    30,683.88x = 442,934,174.39
  5. Step 5: Solve for x
    x = 442,934,174.39/30,683.88
  6. Step 6: Final answer
    x = 14,435.40

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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.