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Finding the Fourth Proportional to 54,766.18, 82,149.41 and 15,323.64

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Solution

The fourth proportional to 54,766.18, 82,149.41 and 15,323.64 is: 22,985.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,766.18 : 82,149.41 = 15,323.64 : x
  2. Step 2: Convert to fraction form
    54,766.18/82,149.41 = 15,323.64/x
  3. Step 3: Cross multiply
    54,766.18x = 82,149.41 × 15,323.64
  4. Step 4: Simplify right side
    54,766.18x = 1,258,827,985.05
  5. Step 5: Solve for x
    x = 1,258,827,985.05/54,766.18
  6. Step 6: Final answer
    x = 22,985.50

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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.