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Finding the Fourth Proportional to 105,630.86, 158,446.65 and 26,745.05

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Solution

The fourth proportional to 105,630.86, 158,446.65 and 26,745.05 is: 40,117.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,630.86 : 158,446.65 = 26,745.05 : x
  2. Step 2: Convert to fraction form
    105,630.86/158,446.65 = 26,745.05/x
  3. Step 3: Cross multiply
    105,630.86x = 158,446.65 × 26,745.05
  4. Step 4: Simplify right side
    105,630.86x = 4,237,663,576.58
  5. Step 5: Solve for x
    x = 4,237,663,576.58/105,630.86
  6. Step 6: Final answer
    x = 40,117.67

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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.