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Finding the Fourth Proportional to 65,907.49, 98,840.80 and 23,782.10

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Solution

The fourth proportional to 65,907.49, 98,840.80 and 23,782.10 is: 35,665.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,907.49 : 98,840.80 = 23,782.10 : x
  2. Step 2: Convert to fraction form
    65,907.49/98,840.80 = 23,782.10/x
  3. Step 3: Cross multiply
    65,907.49x = 98,840.80 × 23,782.10
  4. Step 4: Simplify right side
    65,907.49x = 2,350,641,789.68
  5. Step 5: Solve for x
    x = 2,350,641,789.68/65,907.49
  6. Step 6: Final answer
    x = 35,665.78

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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.