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Finding the Fourth Proportional to 47,103.80, 65,004.66 and 25,883

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Solution

The fourth proportional to 47,103.80, 65,004.66 and 25,883 is: 35,719.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,103.80 : 65,004.66 = 25,883 : x
  2. Step 2: Convert to fraction form
    47,103.80/65,004.66 = 25,883/x
  3. Step 3: Cross multiply
    47,103.80x = 65,004.66 × 25,883
  4. Step 4: Simplify right side
    47,103.80x = 1,682,515,614.78
  5. Step 5: Solve for x
    x = 1,682,515,614.78/47,103.80
  6. Step 6: Final answer
    x = 35,719.32

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1.5x scale

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.