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Finding the Fourth Proportional to 47,270, 65,232.32 and 25,759.70

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Solution

The fourth proportional to 47,270, 65,232.32 and 25,759.70 is: 35,548.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,270 : 65,232.32 = 25,759.70 : x
  2. Step 2: Convert to fraction form
    47,270/65,232.32 = 25,759.70/x
  3. Step 3: Cross multiply
    47,270x = 65,232.32 × 25,759.70
  4. Step 4: Simplify right side
    47,270x = 1,680,364,993.50
  5. Step 5: Solve for x
    x = 1,680,364,993.50/47,270
  6. Step 6: Final answer
    x = 35,548.23

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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.