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Finding the Fourth Proportional to 70,676.62, 97,532.10 and 38,410.48

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Solution

The fourth proportional to 70,676.62, 97,532.10 and 38,410.48 is: 53,005.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,676.62 : 97,532.10 = 38,410.48 : x
  2. Step 2: Convert to fraction form
    70,676.62/97,532.10 = 38,410.48/x
  3. Step 3: Cross multiply
    70,676.62x = 97,532.10 × 38,410.48
  4. Step 4: Simplify right side
    70,676.62x = 3,746,254,776.41
  5. Step 5: Solve for x
    x = 3,746,254,776.41/70,676.62
  6. Step 6: Final answer
    x = 53,005.57

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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.