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Finding the Fourth Proportional to 47,663.82, 65,783.94 and 26,449.92

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Solution

The fourth proportional to 47,663.82, 65,783.94 and 26,449.92 is: 36,505.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,663.82 : 65,783.94 = 26,449.92 : x
  2. Step 2: Convert to fraction form
    47,663.82/65,783.94 = 26,449.92/x
  3. Step 3: Cross multiply
    47,663.82x = 65,783.94 × 26,449.92
  4. Step 4: Simplify right side
    47,663.82x = 1,739,979,950.28
  5. Step 5: Solve for x
    x = 1,739,979,950.28/47,663.82
  6. Step 6: Final answer
    x = 36,505.26

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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.