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Finding the Fourth Proportional to 84,077.98, 116,028.42 and 46,353.58

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Solution

The fourth proportional to 84,077.98, 116,028.42 and 46,353.58 is: 63,968.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,077.98 : 116,028.42 = 46,353.58 : x
  2. Step 2: Convert to fraction form
    84,077.98/116,028.42 = 46,353.58/x
  3. Step 3: Cross multiply
    84,077.98x = 116,028.42 × 46,353.58
  4. Step 4: Simplify right side
    84,077.98x = 5,378,332,648.74
  5. Step 5: Solve for x
    x = 5,378,332,648.74/84,077.98
  6. Step 6: Final answer
    x = 63,968.39

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1.5x scale

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.