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Finding the Fourth Proportional to 65,533.50, 98,321.13 and 23,412.78

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Solution

The fourth proportional to 65,533.50, 98,321.13 and 23,412.78 is: 35,126.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,533.50 : 98,321.13 = 23,412.78 : x
  2. Step 2: Convert to fraction form
    65,533.50/98,321.13 = 23,412.78/x
  3. Step 3: Cross multiply
    65,533.50x = 98,321.13 × 23,412.78
  4. Step 4: Simplify right side
    65,533.50x = 2,301,970,986.04
  5. Step 5: Solve for x
    x = 2,301,970,986.04/65,533.50
  6. Step 6: Final answer
    x = 35,126.63

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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.