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Finding the Fourth Proportional to 47,309, 65,286.86 and 26,089

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Solution

The fourth proportional to 47,309, 65,286.86 and 26,089 is: 36,003.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,309 : 65,286.86 = 26,089 : x
  2. Step 2: Convert to fraction form
    47,309/65,286.86 = 26,089/x
  3. Step 3: Cross multiply
    47,309x = 65,286.86 × 26,089
  4. Step 4: Simplify right side
    47,309x = 1,703,268,890.54
  5. Step 5: Solve for x
    x = 1,703,268,890.54/47,309
  6. Step 6: Final answer
    x = 36,003.06

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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.