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Finding the Fourth Proportional to 30,546.78, 45,814.01 and 8,362.39

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Solution

The fourth proportional to 30,546.78, 45,814.01 and 8,362.39 is: 12,541.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,546.78 : 45,814.01 = 8,362.39 : x
  2. Step 2: Convert to fraction form
    30,546.78/45,814.01 = 8,362.39/x
  3. Step 3: Cross multiply
    30,546.78x = 45,814.01 × 8,362.39
  4. Step 4: Simplify right side
    30,546.78x = 383,114,619.08
  5. Step 5: Solve for x
    x = 383,114,619.08/30,546.78
  6. Step 6: Final answer
    x = 12,541.90

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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.