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Finding the Fourth Proportional to 54,739.85, 82,102.70 and 17,303.70

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Solution

The fourth proportional to 54,739.85, 82,102.70 and 17,303.70 is: 25,953.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,739.85 : 82,102.70 = 17,303.70 : x
  2. Step 2: Convert to fraction form
    54,739.85/82,102.70 = 17,303.70/x
  3. Step 3: Cross multiply
    54,739.85x = 82,102.70 × 17,303.70
  4. Step 4: Simplify right side
    54,739.85x = 1,420,680,403.47
  5. Step 5: Solve for x
    x = 1,420,680,403.47/54,739.85
  6. Step 6: Final answer
    x = 25,953.31

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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.