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Finding the Fourth Proportional to 43,814.14, 65,715.03 and 14,232.33

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Solution

The fourth proportional to 43,814.14, 65,715.03 and 14,232.33 is: 21,346.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,814.14 : 65,715.03 = 14,232.33 : x
  2. Step 2: Convert to fraction form
    43,814.14/65,715.03 = 14,232.33/x
  3. Step 3: Cross multiply
    43,814.14x = 65,715.03 × 14,232.33
  4. Step 4: Simplify right side
    43,814.14x = 935,277,992.92
  5. Step 5: Solve for x
    x = 935,277,992.92/43,814.14
  6. Step 6: Final answer
    x = 21,346.49

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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.