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Finding the Fourth Proportional to 85,583.49, 118,065.43 and 55,378.56

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Solution

The fourth proportional to 85,583.49, 118,065.43 and 55,378.56 is: 76,396.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,583.49 : 118,065.43 = 55,378.56 : x
  2. Step 2: Convert to fraction form
    85,583.49/118,065.43 = 55,378.56/x
  3. Step 3: Cross multiply
    85,583.49x = 118,065.43 × 55,378.56
  4. Step 4: Simplify right side
    85,583.49x = 6,538,293,499.18
  5. Step 5: Solve for x
    x = 6,538,293,499.18/85,583.49
  6. Step 6: Final answer
    x = 76,396.67

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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.