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Finding the Fourth Proportional to 82,382.40, 123,573.60 and 51,278.40

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Solution

The fourth proportional to 82,382.40, 123,573.60 and 51,278.40 is: 76,917.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,382.40 : 123,573.60 = 51,278.40 : x
  2. Step 2: Convert to fraction form
    82,382.40/123,573.60 = 51,278.40/x
  3. Step 3: Cross multiply
    82,382.40x = 123,573.60 × 51,278.40
  4. Step 4: Simplify right side
    82,382.40x = 6,336,656,490.24
  5. Step 5: Solve for x
    x = 6,336,656,490.24/82,382.40
  6. Step 6: Final answer
    x = 76,917.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.