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Finding the Fourth Proportional to 30,394.46, 41,976.70 and 23,146.86

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Solution

The fourth proportional to 30,394.46, 41,976.70 and 23,146.86 is: 31,967.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,394.46 : 41,976.70 = 23,146.86 : x
  2. Step 2: Convert to fraction form
    30,394.46/41,976.70 = 23,146.86/x
  3. Step 3: Cross multiply
    30,394.46x = 41,976.70 × 23,146.86
  4. Step 4: Simplify right side
    30,394.46x = 971,628,798.16
  5. Step 5: Solve for x
    x = 971,628,798.16/30,394.46
  6. Step 6: Final answer
    x = 31,967.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.