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Finding the Fourth Proportional to 84,786.86, 117,007.32 and 46,549.97

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Solution

The fourth proportional to 84,786.86, 117,007.32 and 46,549.97 is: 64,239.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,786.86 : 117,007.32 = 46,549.97 : x
  2. Step 2: Convert to fraction form
    84,786.86/117,007.32 = 46,549.97/x
  3. Step 3: Cross multiply
    84,786.86x = 117,007.32 × 46,549.97
  4. Step 4: Simplify right side
    84,786.86x = 5,446,686,650.74
  5. Step 5: Solve for x
    x = 5,446,686,650.74/84,786.86
  6. Step 6: Final answer
    x = 64,239.75

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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.