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Finding the Fourth Proportional to 47,758.86, 65,905.38 and 26,539.38

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Solution

The fourth proportional to 47,758.86, 65,905.38 and 26,539.38 is: 36,623.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,758.86 : 65,905.38 = 26,539.38 : x
  2. Step 2: Convert to fraction form
    47,758.86/65,905.38 = 26,539.38/x
  3. Step 3: Cross multiply
    47,758.86x = 65,905.38 × 26,539.38
  4. Step 4: Simplify right side
    47,758.86x = 1,749,087,923.86
  5. Step 5: Solve for x
    x = 1,749,087,923.86/47,758.86
  6. Step 6: Final answer
    x = 36,623.32

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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.