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Finding the Fourth Proportional to 39,308.76, 54,299.16 and 31,406.40

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Solution

The fourth proportional to 39,308.76, 54,299.16 and 31,406.40 is: 43,383.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,308.76 : 54,299.16 = 31,406.40 : x
  2. Step 2: Convert to fraction form
    39,308.76/54,299.16 = 31,406.40/x
  3. Step 3: Cross multiply
    39,308.76x = 54,299.16 × 31,406.40
  4. Step 4: Simplify right side
    39,308.76x = 1,705,341,138.62
  5. Step 5: Solve for x
    x = 1,705,341,138.62/39,308.76
  6. Step 6: Final answer
    x = 43,383.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.