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Finding the Fourth Proportional to 43,612.60, 65,445.90 and 17,314.60

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Solution

The fourth proportional to 43,612.60, 65,445.90 and 17,314.60 is: 25,982.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,612.60 : 65,445.90 = 17,314.60 : x
  2. Step 2: Convert to fraction form
    43,612.60/65,445.90 = 17,314.60/x
  3. Step 3: Cross multiply
    43,612.60x = 65,445.90 × 17,314.60
  4. Step 4: Simplify right side
    43,612.60x = 1,133,169,580.14
  5. Step 5: Solve for x
    x = 1,133,169,580.14/43,612.60
  6. Step 6: Final answer
    x = 25,982.62

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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.