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Finding the Fourth Proportional to 41,980, 57,931.04 and 23,116.64

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Solution

The fourth proportional to 41,980, 57,931.04 and 23,116.64 is: 31,900.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,980 : 57,931.04 = 23,116.64 : x
  2. Step 2: Convert to fraction form
    41,980/57,931.04 = 23,116.64/x
  3. Step 3: Cross multiply
    41,980x = 57,931.04 × 23,116.64
  4. Step 4: Simplify right side
    41,980x = 1,339,170,996.51
  5. Step 5: Solve for x
    x = 1,339,170,996.51/41,980
  6. Step 6: Final answer
    x = 31,900.21

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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.