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Finding the Fourth Proportional to 83,783.70, 115,620.21 and 46,057.14

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Solution

The fourth proportional to 83,783.70, 115,620.21 and 46,057.14 is: 63,558.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,783.70 : 115,620.21 = 46,057.14 : x
  2. Step 2: Convert to fraction form
    83,783.70/115,620.21 = 46,057.14/x
  3. Step 3: Cross multiply
    83,783.70x = 115,620.21 × 46,057.14
  4. Step 4: Simplify right side
    83,783.70x = 5,325,136,198.80
  5. Step 5: Solve for x
    x = 5,325,136,198.80/83,783.70
  6. Step 6: Final answer
    x = 63,558.14

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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.