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Finding the Fourth Proportional to 30,971.45, 46,447.19 and 8,778.87

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Solution

The fourth proportional to 30,971.45, 46,447.19 and 8,778.87 is: 13,165.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,971.45 : 46,447.19 = 8,778.87 : x
  2. Step 2: Convert to fraction form
    30,971.45/46,447.19 = 8,778.87/x
  3. Step 3: Cross multiply
    30,971.45x = 46,447.19 × 8,778.87
  4. Step 4: Simplify right side
    30,971.45x = 407,753,831.90
  5. Step 5: Solve for x
    x = 407,753,831.90/30,971.45
  6. Step 6: Final answer
    x = 13,165.47

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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.