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Finding the Fourth Proportional to 78,416.48, 108,202.56 and 46,584.56

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Solution

The fourth proportional to 78,416.48, 108,202.56 and 46,584.56 is: 64,279.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,416.48 : 108,202.56 = 46,584.56 : x
  2. Step 2: Convert to fraction form
    78,416.48/108,202.56 = 46,584.56/x
  3. Step 3: Cross multiply
    78,416.48x = 108,202.56 × 46,584.56
  4. Step 4: Simplify right side
    78,416.48x = 5,040,568,648.47
  5. Step 5: Solve for x
    x = 5,040,568,648.47/78,416.48
  6. Step 6: Final answer
    x = 64,279.46

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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.