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Finding the Fourth Proportional to 84,933, 117,214.83 and 47,214.54

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Solution

The fourth proportional to 84,933, 117,214.83 and 47,214.54 is: 65,160.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,933 : 117,214.83 = 47,214.54 : x
  2. Step 2: Convert to fraction form
    84,933/117,214.83 = 47,214.54/x
  3. Step 3: Cross multiply
    84,933x = 117,214.83 × 47,214.54
  4. Step 4: Simplify right side
    84,933x = 5,534,244,279.63
  5. Step 5: Solve for x
    x = 5,534,244,279.63/84,933
  6. Step 6: Final answer
    x = 65,160.12

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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.