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Finding the Fourth Proportional to 38,676.36, 53,354.34 and 24,353.40

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Solution

The fourth proportional to 38,676.36, 53,354.34 and 24,353.40 is: 33,595.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,676.36 : 53,354.34 = 24,353.40 : x
  2. Step 2: Convert to fraction form
    38,676.36/53,354.34 = 24,353.40/x
  3. Step 3: Cross multiply
    38,676.36x = 53,354.34 × 24,353.40
  4. Step 4: Simplify right side
    38,676.36x = 1,299,359,583.76
  5. Step 5: Solve for x
    x = 1,299,359,583.76/38,676.36
  6. Step 6: Final answer
    x = 33,595.71

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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.