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Finding the Fourth Proportional to 47,228, 65,174.64 and 26,007.24

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Solution

The fourth proportional to 47,228, 65,174.64 and 26,007.24 is: 35,889.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,228 : 65,174.64 = 26,007.24 : x
  2. Step 2: Convert to fraction form
    47,228/65,174.64 = 26,007.24/x
  3. Step 3: Cross multiply
    47,228x = 65,174.64 × 26,007.24
  4. Step 4: Simplify right side
    47,228x = 1,695,012,504.39
  5. Step 5: Solve for x
    x = 1,695,012,504.39/47,228
  6. Step 6: Final answer
    x = 35,889.99

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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.