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Finding the Fourth Proportional to 65,614.75, 98,437.72 and 21,241.49

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Solution

The fourth proportional to 65,614.75, 98,437.72 and 21,241.49 is: 31,867.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,614.75 : 98,437.72 = 21,241.49 : x
  2. Step 2: Convert to fraction form
    65,614.75/98,437.72 = 21,241.49/x
  3. Step 3: Cross multiply
    65,614.75x = 98,437.72 × 21,241.49
  4. Step 4: Simplify right side
    65,614.75x = 2,090,963,405.92
  5. Step 5: Solve for x
    x = 2,090,963,405.92/65,614.75
  6. Step 6: Final answer
    x = 31,867.28

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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.