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Finding the Fourth Proportional to 83,619, 115,394.40 and 45,893.16

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Solution

The fourth proportional to 83,619, 115,394.40 and 45,893.16 is: 63,332.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,619 : 115,394.40 = 45,893.16 : x
  2. Step 2: Convert to fraction form
    83,619/115,394.40 = 45,893.16/x
  3. Step 3: Cross multiply
    83,619x = 115,394.40 × 45,893.16
  4. Step 4: Simplify right side
    83,619x = 5,295,813,662.30
  5. Step 5: Solve for x
    x = 5,295,813,662.30/83,619
  6. Step 6: Final answer
    x = 63,332.66

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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.