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Finding the Fourth Proportional to 34,311.20, 51,423.60 and 30,423.20

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Solution

The fourth proportional to 34,311.20, 51,423.60 and 30,423.20 is: 45,596.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,311.20 : 51,423.60 = 30,423.20 : x
  2. Step 2: Convert to fraction form
    34,311.20/51,423.60 = 30,423.20/x
  3. Step 3: Cross multiply
    34,311.20x = 51,423.60 × 30,423.20
  4. Step 4: Simplify right side
    34,311.20x = 1,564,470,467.52
  5. Step 5: Solve for x
    x = 1,564,470,467.52/34,311.20
  6. Step 6: Final answer
    x = 45,596.50

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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.