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Finding the Fourth Proportional to 92,543.96, 138,815.89 and 30,214.46

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Solution

The fourth proportional to 92,543.96, 138,815.89 and 30,214.46 is: 45,321.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,543.96 : 138,815.89 = 30,214.46 : x
  2. Step 2: Convert to fraction form
    92,543.96/138,815.89 = 30,214.46/x
  3. Step 3: Cross multiply
    92,543.96x = 138,815.89 × 30,214.46
  4. Step 4: Simplify right side
    92,543.96x = 4,194,247,155.77
  5. Step 5: Solve for x
    x = 4,194,247,155.77/92,543.96
  6. Step 6: Final answer
    x = 45,321.67

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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.