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Finding the Fourth Proportional to 41,980.02, 57,932.16 and 23,117

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Solution

The fourth proportional to 41,980.02, 57,932.16 and 23,117 is: 31,901.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,980.02 : 57,932.16 = 23,117 : x
  2. Step 2: Convert to fraction form
    41,980.02/57,932.16 = 23,117/x
  3. Step 3: Cross multiply
    41,980.02x = 57,932.16 × 23,117
  4. Step 4: Simplify right side
    41,980.02x = 1,339,217,742.72
  5. Step 5: Solve for x
    x = 1,339,217,742.72/41,980.02
  6. Step 6: Final answer
    x = 31,901.31

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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.