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Finding the Fourth Proportional to 47,687.70, 65,810.14 and 26,466.50

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Solution

The fourth proportional to 47,687.70, 65,810.14 and 26,466.50 is: 36,524.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,687.70 : 65,810.14 = 26,466.50 : x
  2. Step 2: Convert to fraction form
    47,687.70/65,810.14 = 26,466.50/x
  3. Step 3: Cross multiply
    47,687.70x = 65,810.14 × 26,466.50
  4. Step 4: Simplify right side
    47,687.70x = 1,741,764,070.31
  5. Step 5: Solve for x
    x = 1,741,764,070.31/47,687.70
  6. Step 6: Final answer
    x = 36,524.39

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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.