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Finding the Fourth Proportional to 30,289.92, 45,434.16 and 9,229.92

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Solution

The fourth proportional to 30,289.92, 45,434.16 and 9,229.92 is: 13,844.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,289.92 : 45,434.16 = 9,229.92 : x
  2. Step 2: Convert to fraction form
    30,289.92/45,434.16 = 9,229.92/x
  3. Step 3: Cross multiply
    30,289.92x = 45,434.16 × 9,229.92
  4. Step 4: Simplify right side
    30,289.92x = 419,353,662.07
  5. Step 5: Solve for x
    x = 419,353,662.07/30,289.92
  6. Step 6: Final answer
    x = 13,844.66

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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.