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Finding the Fourth Proportional to 36,729.68, 50,642.16 and 31,054.64

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Solution

The fourth proportional to 36,729.68, 50,642.16 and 31,054.64 is: 42,817.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,729.68 : 50,642.16 = 31,054.64 : x
  2. Step 2: Convert to fraction form
    36,729.68/50,642.16 = 31,054.64/x
  3. Step 3: Cross multiply
    36,729.68x = 50,642.16 × 31,054.64
  4. Step 4: Simplify right side
    36,729.68x = 1,572,674,047.62
  5. Step 5: Solve for x
    x = 1,572,674,047.62/36,729.68
  6. Step 6: Final answer
    x = 42,817.53

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