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Finding the Fourth Proportional to 83,811, 115,662.42 and 46,084.44

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Solution

The fourth proportional to 83,811, 115,662.42 and 46,084.44 is: 63,598.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,811 : 115,662.42 = 46,084.44 : x
  2. Step 2: Convert to fraction form
    83,811/115,662.42 = 46,084.44/x
  3. Step 3: Cross multiply
    83,811x = 115,662.42 × 46,084.44
  4. Step 4: Simplify right side
    83,811x = 5,330,237,854.74
  5. Step 5: Solve for x
    x = 5,330,237,854.74/83,811
  6. Step 6: Final answer
    x = 63,598.31

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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.