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Finding the Fourth Proportional to 36,749.88, 50,584.14 and 30,715.32

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Solution

The fourth proportional to 36,749.88, 50,584.14 and 30,715.32 is: 42,277.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,749.88 : 50,584.14 = 30,715.32 : x
  2. Step 2: Convert to fraction form
    36,749.88/50,584.14 = 30,715.32/x
  3. Step 3: Cross multiply
    36,749.88x = 50,584.14 × 30,715.32
  4. Step 4: Simplify right side
    36,749.88x = 1,553,708,047.02
  5. Step 5: Solve for x
    x = 1,553,708,047.02/36,749.88
  6. Step 6: Final answer
    x = 42,277.91

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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.