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Finding the Fourth Proportional to 65,914.55, 90,967.68 and 37,239.48

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Solution

The fourth proportional to 65,914.55, 90,967.68 and 37,239.48 is: 51,393.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,914.55 : 90,967.68 = 37,239.48 : x
  2. Step 2: Convert to fraction form
    65,914.55/90,967.68 = 37,239.48/x
  3. Step 3: Cross multiply
    65,914.55x = 90,967.68 × 37,239.48
  4. Step 4: Simplify right side
    65,914.55x = 3,387,589,100.01
  5. Step 5: Solve for x
    x = 3,387,589,100.01/65,914.55
  6. Step 6: Final answer
    x = 51,393.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.