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Finding the Fourth Proportional to 82,855.44, 114,433.65 and 55,951.25

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Solution

The fourth proportional to 82,855.44, 114,433.65 and 55,951.25 is: 77,275.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,855.44 : 114,433.65 = 55,951.25 : x
  2. Step 2: Convert to fraction form
    82,855.44/114,433.65 = 55,951.25/x
  3. Step 3: Cross multiply
    82,855.44x = 114,433.65 × 55,951.25
  4. Step 4: Simplify right side
    82,855.44x = 6,402,705,187.39
  5. Step 5: Solve for x
    x = 6,402,705,187.39/82,855.44
  6. Step 6: Final answer
    x = 77,275.62

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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.