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Finding the Fourth Proportional to 36,233.24, 49,978.86 and 26,176.46

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Solution

The fourth proportional to 36,233.24, 49,978.86 and 26,176.46 is: 36,106.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,233.24 : 49,978.86 = 26,176.46 : x
  2. Step 2: Convert to fraction form
    36,233.24/49,978.86 = 26,176.46/x
  3. Step 3: Cross multiply
    36,233.24x = 49,978.86 × 26,176.46
  4. Step 4: Simplify right side
    36,233.24x = 1,308,269,629.64
  5. Step 5: Solve for x
    x = 1,308,269,629.64/36,233.24
  6. Step 6: Final answer
    x = 36,106.89

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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.