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Finding the Fourth Proportional to 69,810.50, 104,715.76 and 29,823.78

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Solution

The fourth proportional to 69,810.50, 104,715.76 and 29,823.78 is: 44,735.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,810.50 : 104,715.76 = 29,823.78 : x
  2. Step 2: Convert to fraction form
    69,810.50/104,715.76 = 29,823.78/x
  3. Step 3: Cross multiply
    69,810.50x = 104,715.76 × 29,823.78
  4. Step 4: Simplify right side
    69,810.50x = 3,123,019,788.77
  5. Step 5: Solve for x
    x = 3,123,019,788.77/69,810.50
  6. Step 6: Final answer
    x = 44,735.67

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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.