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Finding the Fourth Proportional to 41,959.51, 57,904.14 and 23,096.50

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Solution

The fourth proportional to 41,959.51, 57,904.14 and 23,096.50 is: 31,873.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,959.51 : 57,904.14 = 23,096.50 : x
  2. Step 2: Convert to fraction form
    41,959.51/57,904.14 = 23,096.50/x
  3. Step 3: Cross multiply
    41,959.51x = 57,904.14 × 23,096.50
  4. Step 4: Simplify right side
    41,959.51x = 1,337,382,969.51
  5. Step 5: Solve for x
    x = 1,337,382,969.51/41,959.51
  6. Step 6: Final answer
    x = 31,873.18

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Why These Related Problems?

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