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Finding the Fourth Proportional to 65,207.43, 97,687.01 and 37,146.80

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Solution

The fourth proportional to 65,207.43, 97,687.01 and 37,146.80 is: 55,649.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,207.43 : 97,687.01 = 37,146.80 : x
  2. Step 2: Convert to fraction form
    65,207.43/97,687.01 = 37,146.80/x
  3. Step 3: Cross multiply
    65,207.43x = 97,687.01 × 37,146.80
  4. Step 4: Simplify right side
    65,207.43x = 3,628,760,160.15
  5. Step 5: Solve for x
    x = 3,628,760,160.15/65,207.43
  6. Step 6: Final answer
    x = 55,649.49

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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.