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Finding the Fourth Proportional to 84,744.64, 116,947.27 and 46,504.83

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Solution

The fourth proportional to 84,744.64, 116,947.27 and 46,504.83 is: 64,176.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,744.64 : 116,947.27 = 46,504.83 : x
  2. Step 2: Convert to fraction form
    84,744.64/116,947.27 = 46,504.83/x
  3. Step 3: Cross multiply
    84,744.64x = 116,947.27 × 46,504.83
  4. Step 4: Simplify right side
    84,744.64x = 5,438,612,910.31
  5. Step 5: Solve for x
    x = 5,438,612,910.31/84,744.64
  6. Step 6: Final answer
    x = 64,176.48

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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.