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Finding the Fourth Proportional to 36,382.86, 50,221.62 and 22,962.87

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Solution

The fourth proportional to 36,382.86, 50,221.62 and 22,962.87 is: 31,697.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,382.86 : 50,221.62 = 22,962.87 : x
  2. Step 2: Convert to fraction form
    36,382.86/50,221.62 = 22,962.87/x
  3. Step 3: Cross multiply
    36,382.86x = 50,221.62 × 22,962.87
  4. Step 4: Simplify right side
    36,382.86x = 1,153,232,531.25
  5. Step 5: Solve for x
    x = 1,153,232,531.25/36,382.86
  6. Step 6: Final answer
    x = 31,697.14

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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.