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Finding the Fourth Proportional to 35,765, 53,650.46 and 11,141

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Solution

The fourth proportional to 35,765, 53,650.46 and 11,141 is: 16,712.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,765 : 53,650.46 = 11,141 : x
  2. Step 2: Convert to fraction form
    35,765/53,650.46 = 11,141/x
  3. Step 3: Cross multiply
    35,765x = 53,650.46 × 11,141
  4. Step 4: Simplify right side
    35,765x = 597,719,774.86
  5. Step 5: Solve for x
    x = 597,719,774.86/35,765
  6. Step 6: Final answer
    x = 16,712.42

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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.