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Finding the Fourth Proportional to 43,412.86, 65,097.68 and 13,826.86

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Solution

The fourth proportional to 43,412.86, 65,097.68 and 13,826.86 is: 20,733.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,412.86 : 65,097.68 = 13,826.86 : x
  2. Step 2: Convert to fraction form
    43,412.86/65,097.68 = 13,826.86/x
  3. Step 3: Cross multiply
    43,412.86x = 65,097.68 × 13,826.86
  4. Step 4: Simplify right side
    43,412.86x = 900,096,507.68
  5. Step 5: Solve for x
    x = 900,096,507.68/43,412.86
  6. Step 6: Final answer
    x = 20,733.41

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1.5x scale

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.