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Finding the Fourth Proportional to 64,942.70, 97,414.05 and 47,230.70

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Solution

The fourth proportional to 64,942.70, 97,414.05 and 47,230.70 is: 70,846.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,942.70 : 97,414.05 = 47,230.70 : x
  2. Step 2: Convert to fraction form
    64,942.70/97,414.05 = 47,230.70/x
  3. Step 3: Cross multiply
    64,942.70x = 97,414.05 × 47,230.70
  4. Step 4: Simplify right side
    64,942.70x = 4,600,933,771.34
  5. Step 5: Solve for x
    x = 4,600,933,771.34/64,942.70
  6. Step 6: Final answer
    x = 70,846.05

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1.5x scale

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.