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Finding the Fourth Proportional to 30,811.50, 46,151.64 and 29,086.20

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Solution

The fourth proportional to 30,811.50, 46,151.64 and 29,086.20 is: 43,567.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,811.50 : 46,151.64 = 29,086.20 : x
  2. Step 2: Convert to fraction form
    30,811.50/46,151.64 = 29,086.20/x
  3. Step 3: Cross multiply
    30,811.50x = 46,151.64 × 29,086.20
  4. Step 4: Simplify right side
    30,811.50x = 1,342,375,831.37
  5. Step 5: Solve for x
    x = 1,342,375,831.37/30,811.50
  6. Step 6: Final answer
    x = 43,567.36

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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.