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Finding the Fourth Proportional to 30,807.49, 46,204.14 and 8,622.44

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Solution

The fourth proportional to 30,807.49, 46,204.14 and 8,622.44 is: 12,931.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,807.49 : 46,204.14 = 8,622.44 : x
  2. Step 2: Convert to fraction form
    30,807.49/46,204.14 = 8,622.44/x
  3. Step 3: Cross multiply
    30,807.49x = 46,204.14 × 8,622.44
  4. Step 4: Simplify right side
    30,807.49x = 398,392,424.90
  5. Step 5: Solve for x
    x = 398,392,424.90/30,807.49
  6. Step 6: Final answer
    x = 12,931.67

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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.