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Finding the Fourth Proportional to 97,343.79, 145,961.01 and 30,800.67

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Solution

The fourth proportional to 97,343.79, 145,961.01 and 30,800.67 is: 46,183.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,343.79 : 145,961.01 = 30,800.67 : x
  2. Step 2: Convert to fraction form
    97,343.79/145,961.01 = 30,800.67/x
  3. Step 3: Cross multiply
    97,343.79x = 145,961.01 × 30,800.67
  4. Step 4: Simplify right side
    97,343.79x = 4,495,696,901.88
  5. Step 5: Solve for x
    x = 4,495,696,901.88/97,343.79
  6. Step 6: Final answer
    x = 46,183.71

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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.