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Finding the Fourth Proportional to 69,652.17, 104,478.30 and 25,278.84

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Solution

The fourth proportional to 69,652.17, 104,478.30 and 25,278.84 is: 37,918.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,652.17 : 104,478.30 = 25,278.84 : x
  2. Step 2: Convert to fraction form
    69,652.17/104,478.30 = 25,278.84/x
  3. Step 3: Cross multiply
    69,652.17x = 104,478.30 × 25,278.84
  4. Step 4: Simplify right side
    69,652.17x = 2,641,090,229.17
  5. Step 5: Solve for x
    x = 2,641,090,229.17/69,652.17
  6. Step 6: Final answer
    x = 37,918.28

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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.