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Finding the Fourth Proportional to 36,695.80, 50,661.21 and 24,157

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Solution

The fourth proportional to 36,695.80, 50,661.21 and 24,157 is: 33,350.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,695.80 : 50,661.21 = 24,157 : x
  2. Step 2: Convert to fraction form
    36,695.80/50,661.21 = 24,157/x
  3. Step 3: Cross multiply
    36,695.80x = 50,661.21 × 24,157
  4. Step 4: Simplify right side
    36,695.80x = 1,223,822,849.97
  5. Step 5: Solve for x
    x = 1,223,822,849.97/36,695.80
  6. Step 6: Final answer
    x = 33,350.49

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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.