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Finding the Fourth Proportional to 84,203.20, 116,201.38 and 46,477.48

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Solution

The fourth proportional to 84,203.20, 116,201.38 and 46,477.48 is: 64,139.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,203.20 : 116,201.38 = 46,477.48 : x
  2. Step 2: Convert to fraction form
    84,203.20/116,201.38 = 46,477.48/x
  3. Step 3: Cross multiply
    84,203.20x = 116,201.38 × 46,477.48
  4. Step 4: Simplify right side
    84,203.20x = 5,400,747,314.92
  5. Step 5: Solve for x
    x = 5,400,747,314.92/84,203.20
  6. Step 6: Final answer
    x = 64,139.45

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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.