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Finding the Fourth Proportional to 66,914.40, 100,256.40 and 35,277.60

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Solution

The fourth proportional to 66,914.40, 100,256.40 and 35,277.60 is: 52,855.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,914.40 : 100,256.40 = 35,277.60 : x
  2. Step 2: Convert to fraction form
    66,914.40/100,256.40 = 35,277.60/x
  3. Step 3: Cross multiply
    66,914.40x = 100,256.40 × 35,277.60
  4. Step 4: Simplify right side
    66,914.40x = 3,536,805,176.64
  5. Step 5: Solve for x
    x = 3,536,805,176.64/66,914.40
  6. Step 6: Final answer
    x = 52,855.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.