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Finding the Fourth Proportional to 84,079.91, 116,029.50 and 46,354.16

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Solution

The fourth proportional to 84,079.91, 116,029.50 and 46,354.16 is: 63,968.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,079.91 : 116,029.50 = 46,354.16 : x
  2. Step 2: Convert to fraction form
    84,079.91/116,029.50 = 46,354.16/x
  3. Step 3: Cross multiply
    84,079.91x = 116,029.50 × 46,354.16
  4. Step 4: Simplify right side
    84,079.91x = 5,378,449,427.57
  5. Step 5: Solve for x
    x = 5,378,449,427.57/84,079.91
  6. Step 6: Final answer
    x = 63,968.31

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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.