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Finding the Fourth Proportional to 97,395.89, 146,099.39 and 27,280.67

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Solution

The fourth proportional to 97,395.89, 146,099.39 and 27,280.67 is: 40,922.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,395.89 : 146,099.39 = 27,280.67 : x
  2. Step 2: Convert to fraction form
    97,395.89/146,099.39 = 27,280.67/x
  3. Step 3: Cross multiply
    97,395.89x = 146,099.39 × 27,280.67
  4. Step 4: Simplify right side
    97,395.89x = 3,985,688,378.89
  5. Step 5: Solve for x
    x = 3,985,688,378.89/97,395.89
  6. Step 6: Final answer
    x = 40,922.55

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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.