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Finding the Fourth Proportional to 47,138.69, 65,051.64 and 25,919.33

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Solution

The fourth proportional to 47,138.69, 65,051.64 and 25,919.33 is: 35,768.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,138.69 : 65,051.64 = 25,919.33 : x
  2. Step 2: Convert to fraction form
    47,138.69/65,051.64 = 25,919.33/x
  3. Step 3: Cross multiply
    47,138.69x = 65,051.64 × 25,919.33
  4. Step 4: Simplify right side
    47,138.69x = 1,686,094,598.94
  5. Step 5: Solve for x
    x = 1,686,094,598.94/47,138.69
  6. Step 6: Final answer
    x = 35,768.80

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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.