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Finding the Fourth Proportional to 65,189.54, 97,784.31 and 41,963.60

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Solution

The fourth proportional to 65,189.54, 97,784.31 and 41,963.60 is: 62,945.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,189.54 : 97,784.31 = 41,963.60 : x
  2. Step 2: Convert to fraction form
    65,189.54/97,784.31 = 41,963.60/x
  3. Step 3: Cross multiply
    65,189.54x = 97,784.31 × 41,963.60
  4. Step 4: Simplify right side
    65,189.54x = 4,103,382,072.94
  5. Step 5: Solve for x
    x = 4,103,382,072.94/65,189.54
  6. Step 6: Final answer
    x = 62,945.40

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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.