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Finding the Fourth Proportional to 70,676.44, 97,533 and 38,410.90

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Solution

The fourth proportional to 70,676.44, 97,533 and 38,410.90 is: 53,006.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,676.44 : 97,533 = 38,410.90 : x
  2. Step 2: Convert to fraction form
    70,676.44/97,533 = 38,410.90/x
  3. Step 3: Cross multiply
    70,676.44x = 97,533 × 38,410.90
  4. Step 4: Simplify right side
    70,676.44x = 3,746,330,309.70
  5. Step 5: Solve for x
    x = 3,746,330,309.70/70,676.44
  6. Step 6: Final answer
    x = 53,006.78

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1.5x scale

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.