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Finding the Fourth Proportional to 65,619, 90,554.54 and 35,811

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Solution

The fourth proportional to 65,619, 90,554.54 and 35,811 is: 49,419.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,619 : 90,554.54 = 35,811 : x
  2. Step 2: Convert to fraction form
    65,619/90,554.54 = 35,811/x
  3. Step 3: Cross multiply
    65,619x = 90,554.54 × 35,811
  4. Step 4: Simplify right side
    65,619x = 3,242,848,631.94
  5. Step 5: Solve for x
    x = 3,242,848,631.94/65,619
  6. Step 6: Final answer
    x = 49,419.35

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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.