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Finding the Fourth Proportional to 54,852.80, 82,118.76 and 49,599.86

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Solution

The fourth proportional to 54,852.80, 82,118.76 and 49,599.86 is: 74,254.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,852.80 : 82,118.76 = 49,599.86 : x
  2. Step 2: Convert to fraction form
    54,852.80/82,118.76 = 49,599.86/x
  3. Step 3: Cross multiply
    54,852.80x = 82,118.76 × 49,599.86
  4. Step 4: Simplify right side
    54,852.80x = 4,073,078,999.37
  5. Step 5: Solve for x
    x = 4,073,078,999.37/54,852.80
  6. Step 6: Final answer
    x = 74,254.71

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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.