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Finding the Fourth Proportional to 83,895, 115,775.12 and 46,169.25

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Solution

The fourth proportional to 83,895, 115,775.12 and 46,169.25 is: 63,713.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,895 : 115,775.12 = 46,169.25 : x
  2. Step 2: Convert to fraction form
    83,895/115,775.12 = 46,169.25/x
  3. Step 3: Cross multiply
    83,895x = 115,775.12 × 46,169.25
  4. Step 4: Simplify right side
    83,895x = 5,345,250,228.21
  5. Step 5: Solve for x
    x = 5,345,250,228.21/83,895
  6. Step 6: Final answer
    x = 63,713.57

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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.