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Finding the Fourth Proportional to 41,959.74, 57,904.84 and 23,097

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Solution

The fourth proportional to 41,959.74, 57,904.84 and 23,097 is: 31,874.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,959.74 : 57,904.84 = 23,097 : x
  2. Step 2: Convert to fraction form
    41,959.74/57,904.84 = 23,097/x
  3. Step 3: Cross multiply
    41,959.74x = 57,904.84 × 23,097
  4. Step 4: Simplify right side
    41,959.74x = 1,337,428,089.48
  5. Step 5: Solve for x
    x = 1,337,428,089.48/41,959.74
  6. Step 6: Final answer
    x = 31,874.08

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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.