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Finding the Fourth Proportional to 47,203.56, 65,151 and 32,121.36

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Solution

The fourth proportional to 47,203.56, 65,151 and 32,121.36 is: 44,334.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,203.56 : 65,151 = 32,121.36 : x
  2. Step 2: Convert to fraction form
    47,203.56/65,151 = 32,121.36/x
  3. Step 3: Cross multiply
    47,203.56x = 65,151 × 32,121.36
  4. Step 4: Simplify right side
    47,203.56x = 2,092,738,725.36
  5. Step 5: Solve for x
    x = 2,092,738,725.36/47,203.56
  6. Step 6: Final answer
    x = 44,334.34

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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.