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Finding the Fourth Proportional to 69,345, 104,034.78 and 20,097

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Solution

The fourth proportional to 69,345, 104,034.78 and 20,097 is: 30,150.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,345 : 104,034.78 = 20,097 : x
  2. Step 2: Convert to fraction form
    69,345/104,034.78 = 20,097/x
  3. Step 3: Cross multiply
    69,345x = 104,034.78 × 20,097
  4. Step 4: Simplify right side
    69,345x = 2,090,786,973.66
  5. Step 5: Solve for x
    x = 2,090,786,973.66/69,345
  6. Step 6: Final answer
    x = 30,150.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.