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Finding the Fourth Proportional to 84,260.72, 116,273.94 and 46,532

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Solution

The fourth proportional to 84,260.72, 116,273.94 and 46,532 is: 64,210.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,260.72 : 116,273.94 = 46,532 : x
  2. Step 2: Convert to fraction form
    84,260.72/116,273.94 = 46,532/x
  3. Step 3: Cross multiply
    84,260.72x = 116,273.94 × 46,532
  4. Step 4: Simplify right side
    84,260.72x = 5,410,458,976.08
  5. Step 5: Solve for x
    x = 5,410,458,976.08/84,260.72
  6. Step 6: Final answer
    x = 64,210.93

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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.