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Finding the Fourth Proportional to 36,234, 50,022.36 and 28,257.12

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Solution

The fourth proportional to 36,234, 50,022.36 and 28,257.12 is: 39,009.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,234 : 50,022.36 = 28,257.12 : x
  2. Step 2: Convert to fraction form
    36,234/50,022.36 = 28,257.12/x
  3. Step 3: Cross multiply
    36,234x = 50,022.36 × 28,257.12
  4. Step 4: Simplify right side
    36,234x = 1,413,487,829.20
  5. Step 5: Solve for x
    x = 1,413,487,829.20/36,234
  6. Step 6: Final answer
    x = 39,009.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.