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Finding the Fourth Proportional to 43,523.80, 65,285.70 and 21,351.40

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Solution

The fourth proportional to 43,523.80, 65,285.70 and 21,351.40 is: 32,027.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,523.80 : 65,285.70 = 21,351.40 : x
  2. Step 2: Convert to fraction form
    43,523.80/65,285.70 = 21,351.40/x
  3. Step 3: Cross multiply
    43,523.80x = 65,285.70 × 21,351.40
  4. Step 4: Simplify right side
    43,523.80x = 1,393,941,094.98
  5. Step 5: Solve for x
    x = 1,393,941,094.98/43,523.80
  6. Step 6: Final answer
    x = 32,027.10

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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.