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Finding the Fourth Proportional to 35,582.38, 49,108.78 and 22,157.86

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Solution

The fourth proportional to 35,582.38, 49,108.78 and 22,157.86 is: 30,581.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,582.38 : 49,108.78 = 22,157.86 : x
  2. Step 2: Convert to fraction form
    35,582.38/49,108.78 = 22,157.86/x
  3. Step 3: Cross multiply
    35,582.38x = 49,108.78 × 22,157.86
  4. Step 4: Simplify right side
    35,582.38x = 1,088,145,472.01
  5. Step 5: Solve for x
    x = 1,088,145,472.01/35,582.38
  6. Step 6: Final answer
    x = 30,581.02

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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.