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Finding the Fourth Proportional to 47,233.88, 65,181.77 and 25,723.86

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Solution

The fourth proportional to 47,233.88, 65,181.77 and 25,723.86 is: 35,498.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,233.88 : 65,181.77 = 25,723.86 : x
  2. Step 2: Convert to fraction form
    47,233.88/65,181.77 = 25,723.86/x
  3. Step 3: Cross multiply
    47,233.88x = 65,181.77 × 25,723.86
  4. Step 4: Simplify right side
    47,233.88x = 1,676,726,790.34
  5. Step 5: Solve for x
    x = 1,676,726,790.34/47,233.88
  6. Step 6: Final answer
    x = 35,498.39

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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.