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Finding the Fourth Proportional to 64,934.20, 97,331.34 and 31,676.68

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Solution

The fourth proportional to 64,934.20, 97,331.34 and 31,676.68 is: 47,480.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,934.20 : 97,331.34 = 31,676.68 : x
  2. Step 2: Convert to fraction form
    64,934.20/97,331.34 = 31,676.68/x
  3. Step 3: Cross multiply
    64,934.20x = 97,331.34 × 31,676.68
  4. Step 4: Simplify right side
    64,934.20x = 3,083,133,711.15
  5. Step 5: Solve for x
    x = 3,083,133,711.15/64,934.20
  6. Step 6: Final answer
    x = 47,480.89

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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.