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Finding the Fourth Proportional to 84,531.87, 116,652.56 and 46,805.31

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Solution

The fourth proportional to 84,531.87, 116,652.56 and 46,805.31 is: 64,590.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,531.87 : 116,652.56 = 46,805.31 : x
  2. Step 2: Convert to fraction form
    84,531.87/116,652.56 = 46,805.31/x
  3. Step 3: Cross multiply
    84,531.87x = 116,652.56 × 46,805.31
  4. Step 4: Simplify right side
    84,531.87x = 5,459,958,999.07
  5. Step 5: Solve for x
    x = 5,459,958,999.07/84,531.87
  6. Step 6: Final answer
    x = 64,590.54

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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.