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Finding the Fourth Proportional to 82,855.38, 114,407.94 and 67,544.40

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Solution

The fourth proportional to 82,855.38, 114,407.94 and 67,544.40 is: 93,266.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,855.38 : 114,407.94 = 67,544.40 : x
  2. Step 2: Convert to fraction form
    82,855.38/114,407.94 = 67,544.40/x
  3. Step 3: Cross multiply
    82,855.38x = 114,407.94 × 67,544.40
  4. Step 4: Simplify right side
    82,855.38x = 7,727,615,662.54
  5. Step 5: Solve for x
    x = 7,727,615,662.54/82,855.38
  6. Step 6: Final answer
    x = 93,266.31

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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.