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Finding the Fourth Proportional to 43,814.80, 65,738.40 and 17,538.40

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Solution

The fourth proportional to 43,814.80, 65,738.40 and 17,538.40 is: 26,314.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,814.80 : 65,738.40 = 17,538.40 : x
  2. Step 2: Convert to fraction form
    43,814.80/65,738.40 = 17,538.40/x
  3. Step 3: Cross multiply
    43,814.80x = 65,738.40 × 17,538.40
  4. Step 4: Simplify right side
    43,814.80x = 1,152,946,354.56
  5. Step 5: Solve for x
    x = 1,152,946,354.56/43,814.80
  6. Step 6: Final answer
    x = 26,314.08

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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.