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Finding the Fourth Proportional to 43,613.37, 65,420.19 and 12,023.64

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Solution

The fourth proportional to 43,613.37, 65,420.19 and 12,023.64 is: 18,035.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,613.37 : 65,420.19 = 12,023.64 : x
  2. Step 2: Convert to fraction form
    43,613.37/65,420.19 = 12,023.64/x
  3. Step 3: Cross multiply
    43,613.37x = 65,420.19 × 12,023.64
  4. Step 4: Simplify right side
    43,613.37x = 786,588,813.29
  5. Step 5: Solve for x
    x = 786,588,813.29/43,613.37
  6. Step 6: Final answer
    x = 18,035.50

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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.