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Finding the Fourth Proportional to 54,984.30, 82,459.98 and 28,674.68

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Solution

The fourth proportional to 54,984.30, 82,459.98 and 28,674.68 is: 43,003.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,984.30 : 82,459.98 = 28,674.68 : x
  2. Step 2: Convert to fraction form
    54,984.30/82,459.98 = 28,674.68/x
  3. Step 3: Cross multiply
    54,984.30x = 82,459.98 × 28,674.68
  4. Step 4: Simplify right side
    54,984.30x = 2,364,513,539.31
  5. Step 5: Solve for x
    x = 2,364,513,539.31/54,984.30
  6. Step 6: Final answer
    x = 43,003.43

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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.