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Finding the Fourth Proportional to 47,266, 65,228.45 and 26,046.63

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Solution

The fourth proportional to 47,266, 65,228.45 and 26,046.63 is: 35,945.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,266 : 65,228.45 = 26,046.63 : x
  2. Step 2: Convert to fraction form
    47,266/65,228.45 = 26,046.63/x
  3. Step 3: Cross multiply
    47,266x = 65,228.45 × 26,046.63
  4. Step 4: Simplify right side
    47,266x = 1,698,981,302.62
  5. Step 5: Solve for x
    x = 1,698,981,302.62/47,266
  6. Step 6: Final answer
    x = 35,945.10

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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.