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Finding the Fourth Proportional to 82,308.40, 123,462.60 and 44,983.60

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Solution

The fourth proportional to 82,308.40, 123,462.60 and 44,983.60 is: 67,475.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,308.40 : 123,462.60 = 44,983.60 : x
  2. Step 2: Convert to fraction form
    82,308.40/123,462.60 = 44,983.60/x
  3. Step 3: Cross multiply
    82,308.40x = 123,462.60 × 44,983.60
  4. Step 4: Simplify right side
    82,308.40x = 5,553,792,213.36
  5. Step 5: Solve for x
    x = 5,553,792,213.36/82,308.40
  6. Step 6: Final answer
    x = 67,475.40

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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.