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Finding the Fourth Proportional to 84,287.80, 116,319.43 and 46,048.96

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Solution

The fourth proportional to 84,287.80, 116,319.43 and 46,048.96 is: 63,548.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,287.80 : 116,319.43 = 46,048.96 : x
  2. Step 2: Convert to fraction form
    84,287.80/116,319.43 = 46,048.96/x
  3. Step 3: Cross multiply
    84,287.80x = 116,319.43 × 46,048.96
  4. Step 4: Simplify right side
    84,287.80x = 5,356,388,982.25
  5. Step 5: Solve for x
    x = 5,356,388,982.25/84,287.80
  6. Step 6: Final answer
    x = 63,548.80

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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.