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Finding the Fourth Proportional to 47,715.26, 65,849.08 and 26,494.50

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Solution

The fourth proportional to 47,715.26, 65,849.08 and 26,494.50 is: 36,563.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,715.26 : 65,849.08 = 26,494.50 : x
  2. Step 2: Convert to fraction form
    47,715.26/65,849.08 = 26,494.50/x
  3. Step 3: Cross multiply
    47,715.26x = 65,849.08 × 26,494.50
  4. Step 4: Simplify right side
    47,715.26x = 1,744,638,383.82
  5. Step 5: Solve for x
    x = 1,744,638,383.82/47,715.26
  6. Step 6: Final answer
    x = 36,563.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.