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Finding the Fourth Proportional to 84,659.60, 116,837.16 and 46,946

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Solution

The fourth proportional to 84,659.60, 116,837.16 and 46,946 is: 64,789.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,659.60 : 116,837.16 = 46,946 : x
  2. Step 2: Convert to fraction form
    84,659.60/116,837.16 = 46,946/x
  3. Step 3: Cross multiply
    84,659.60x = 116,837.16 × 46,946
  4. Step 4: Simplify right side
    84,659.60x = 5,485,037,313.36
  5. Step 5: Solve for x
    x = 5,485,037,313.36/84,659.60
  6. Step 6: Final answer
    x = 64,789.31

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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.