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Finding the Fourth Proportional to 69,342, 104,030.28 and 20,094

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Solution

The fourth proportional to 69,342, 104,030.28 and 20,094 is: 30,146.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,342 : 104,030.28 = 20,094 : x
  2. Step 2: Convert to fraction form
    69,342/104,030.28 = 20,094/x
  3. Step 3: Cross multiply
    69,342x = 104,030.28 × 20,094
  4. Step 4: Simplify right side
    69,342x = 2,090,384,446.32
  5. Step 5: Solve for x
    x = 2,090,384,446.32/69,342
  6. Step 6: Final answer
    x = 30,146.01

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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.