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Finding the Fourth Proportional to 35,650, 53,455.38 and 24,418.27

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Solution

The fourth proportional to 35,650, 53,455.38 and 24,418.27 is: 36,613.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,650 : 53,455.38 = 24,418.27 : x
  2. Step 2: Convert to fraction form
    35,650/53,455.38 = 24,418.27/x
  3. Step 3: Cross multiply
    35,650x = 53,455.38 × 24,418.27
  4. Step 4: Simplify right side
    35,650x = 1,305,287,901.79
  5. Step 5: Solve for x
    x = 1,305,287,901.79/35,650
  6. Step 6: Final answer
    x = 36,613.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.