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Finding the Fourth Proportional to 30,982.31, 46,475.22 and 8,793.93

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Solution

The fourth proportional to 30,982.31, 46,475.22 and 8,793.93 is: 13,191.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,982.31 : 46,475.22 = 8,793.93 : x
  2. Step 2: Convert to fraction form
    30,982.31/46,475.22 = 8,793.93/x
  3. Step 3: Cross multiply
    30,982.31x = 46,475.22 × 8,793.93
  4. Step 4: Simplify right side
    30,982.31x = 408,699,831.41
  5. Step 5: Solve for x
    x = 408,699,831.41/30,982.31
  6. Step 6: Final answer
    x = 13,191.40

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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.