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Finding the Fourth Proportional to 82,853.68, 114,301.70 and 55,986.40

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Solution

The fourth proportional to 82,853.68, 114,301.70 and 55,986.40 is: 77,236.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,853.68 : 114,301.70 = 55,986.40 : x
  2. Step 2: Convert to fraction form
    82,853.68/114,301.70 = 55,986.40/x
  3. Step 3: Cross multiply
    82,853.68x = 114,301.70 × 55,986.40
  4. Step 4: Simplify right side
    82,853.68x = 6,399,340,696.88
  5. Step 5: Solve for x
    x = 6,399,340,696.88/82,853.68
  6. Step 6: Final answer
    x = 77,236.65

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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.