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Finding the Fourth Proportional to 36,749.64, 50,715.54 and 21,643.32

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Solution

The fourth proportional to 36,749.64, 50,715.54 and 21,643.32 is: 29,868.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,749.64 : 50,715.54 = 21,643.32 : x
  2. Step 2: Convert to fraction form
    36,749.64/50,715.54 = 21,643.32/x
  3. Step 3: Cross multiply
    36,749.64x = 50,715.54 × 21,643.32
  4. Step 4: Simplify right side
    36,749.64x = 1,097,652,661.19
  5. Step 5: Solve for x
    x = 1,097,652,661.19/36,749.64
  6. Step 6: Final answer
    x = 29,868.39

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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.