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Finding the Fourth Proportional to 47,420.56, 65,420.04 and 33,282.64

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Solution

The fourth proportional to 47,420.56, 65,420.04 and 33,282.64 is: 45,915.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,420.56 : 65,420.04 = 33,282.64 : x
  2. Step 2: Convert to fraction form
    47,420.56/65,420.04 = 33,282.64/x
  3. Step 3: Cross multiply
    47,420.56x = 65,420.04 × 33,282.64
  4. Step 4: Simplify right side
    47,420.56x = 2,177,351,640.11
  5. Step 5: Solve for x
    x = 2,177,351,640.11/47,420.56
  6. Step 6: Final answer
    x = 45,915.77

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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.