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Finding the Fourth Proportional to 37,813.70, 52,180.88 and 20,814.64

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Solution

The fourth proportional to 37,813.70, 52,180.88 and 20,814.64 is: 28,723.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,813.70 : 52,180.88 = 20,814.64 : x
  2. Step 2: Convert to fraction form
    37,813.70/52,180.88 = 20,814.64/x
  3. Step 3: Cross multiply
    37,813.70x = 52,180.88 × 20,814.64
  4. Step 4: Simplify right side
    37,813.70x = 1,086,126,075.61
  5. Step 5: Solve for x
    x = 1,086,126,075.61/37,813.70
  6. Step 6: Final answer
    x = 28,723.08

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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.