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Finding the Fourth Proportional to 47,768.36, 65,912.94 and 27,621.32

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Solution

The fourth proportional to 47,768.36, 65,912.94 and 27,621.32 is: 38,113.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,768.36 : 65,912.94 = 27,621.32 : x
  2. Step 2: Convert to fraction form
    47,768.36/65,912.94 = 27,621.32/x
  3. Step 3: Cross multiply
    47,768.36x = 65,912.94 × 27,621.32
  4. Step 4: Simplify right side
    47,768.36x = 1,820,602,407.88
  5. Step 5: Solve for x
    x = 1,820,602,407.88/47,768.36
  6. Step 6: Final answer
    x = 38,113.14

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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.