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Finding the Fourth Proportional to 84,647.60, 116,820.60 and 46,934

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Solution

The fourth proportional to 84,647.60, 116,820.60 and 46,934 is: 64,772.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,647.60 : 116,820.60 = 46,934 : x
  2. Step 2: Convert to fraction form
    84,647.60/116,820.60 = 46,934/x
  3. Step 3: Cross multiply
    84,647.60x = 116,820.60 × 46,934
  4. Step 4: Simplify right side
    84,647.60x = 5,482,858,040.40
  5. Step 5: Solve for x
    x = 5,482,858,040.40/84,647.60
  6. Step 6: Final answer
    x = 64,772.75

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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.