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Finding the Fourth Proportional to 101,845.67, 152,769.65 and 30,768.89

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Solution

The fourth proportional to 101,845.67, 152,769.65 and 30,768.89 is: 46,153.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,845.67 : 152,769.65 = 30,768.89 : x
  2. Step 2: Convert to fraction form
    101,845.67/152,769.65 = 30,768.89/x
  3. Step 3: Cross multiply
    101,845.67x = 152,769.65 × 30,768.89
  4. Step 4: Simplify right side
    101,845.67x = 4,700,551,638.50
  5. Step 5: Solve for x
    x = 4,700,551,638.50/101,845.67
  6. Step 6: Final answer
    x = 46,153.67

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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.