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Finding the Fourth Proportional to 30,224.86, 45,337.23 and 8,038.24

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Solution

The fourth proportional to 30,224.86, 45,337.23 and 8,038.24 is: 12,057.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,224.86 : 45,337.23 = 8,038.24 : x
  2. Step 2: Convert to fraction form
    30,224.86/45,337.23 = 8,038.24/x
  3. Step 3: Cross multiply
    30,224.86x = 45,337.23 × 8,038.24
  4. Step 4: Simplify right side
    30,224.86x = 364,431,535.68
  5. Step 5: Solve for x
    x = 364,431,535.68/30,224.86
  6. Step 6: Final answer
    x = 12,057.34

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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.