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Finding the Fourth Proportional to 54,308.40, 81,462.60 and 44,977.20

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Solution

The fourth proportional to 54,308.40, 81,462.60 and 44,977.20 is: 67,465.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,308.40 : 81,462.60 = 44,977.20 : x
  2. Step 2: Convert to fraction form
    54,308.40/81,462.60 = 44,977.20/x
  3. Step 3: Cross multiply
    54,308.40x = 81,462.60 × 44,977.20
  4. Step 4: Simplify right side
    54,308.40x = 3,663,959,652.72
  5. Step 5: Solve for x
    x = 3,663,959,652.72/54,308.40
  6. Step 6: Final answer
    x = 67,465.80

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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.