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Finding the Fourth Proportional to 84,212.56, 116,212.62 and 46,486

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Solution

The fourth proportional to 84,212.56, 116,212.62 and 46,486 is: 64,150.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,212.56 : 116,212.62 = 46,486 : x
  2. Step 2: Convert to fraction form
    84,212.56/116,212.62 = 46,486/x
  3. Step 3: Cross multiply
    84,212.56x = 116,212.62 × 46,486
  4. Step 4: Simplify right side
    84,212.56x = 5,402,259,853.32
  5. Step 5: Solve for x
    x = 5,402,259,853.32/84,212.56
  6. Step 6: Final answer
    x = 64,150.29

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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.