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Finding the Fourth Proportional to 47,405.70, 65,419.21 and 25,895.19

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Solution

The fourth proportional to 47,405.70, 65,419.21 and 25,895.19 is: 35,735.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,405.70 : 65,419.21 = 25,895.19 : x
  2. Step 2: Convert to fraction form
    47,405.70/65,419.21 = 25,895.19/x
  3. Step 3: Cross multiply
    47,405.70x = 65,419.21 × 25,895.19
  4. Step 4: Simplify right side
    47,405.70x = 1,694,042,743.12
  5. Step 5: Solve for x
    x = 1,694,042,743.12/47,405.70
  6. Step 6: Final answer
    x = 35,735.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.