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Finding the Fourth Proportional to 70,942.76, 97,898.06 and 38,676.68

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Solution

The fourth proportional to 70,942.76, 97,898.06 and 38,676.68 is: 53,372.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,942.76 : 97,898.06 = 38,676.68 : x
  2. Step 2: Convert to fraction form
    70,942.76/97,898.06 = 38,676.68/x
  3. Step 3: Cross multiply
    70,942.76x = 97,898.06 × 38,676.68
  4. Step 4: Simplify right side
    70,942.76x = 3,786,371,939.24
  5. Step 5: Solve for x
    x = 3,786,371,939.24/70,942.76
  6. Step 6: Final answer
    x = 53,372.21

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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.