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Finding the Fourth Proportional to 41,922, 57,852.90 and 23,059.80

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Solution

The fourth proportional to 41,922, 57,852.90 and 23,059.80 is: 31,822.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,922 : 57,852.90 = 23,059.80 : x
  2. Step 2: Convert to fraction form
    41,922/57,852.90 = 23,059.80/x
  3. Step 3: Cross multiply
    41,922x = 57,852.90 × 23,059.80
  4. Step 4: Simplify right side
    41,922x = 1,334,076,303.42
  5. Step 5: Solve for x
    x = 1,334,076,303.42/41,922
  6. Step 6: Final answer
    x = 31,822.82

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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.