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Finding the Fourth Proportional to 37,546.80, 51,810.84 and 20,778

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Solution

The fourth proportional to 37,546.80, 51,810.84 and 20,778 is: 28,671.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,546.80 : 51,810.84 = 20,778 : x
  2. Step 2: Convert to fraction form
    37,546.80/51,810.84 = 20,778/x
  3. Step 3: Cross multiply
    37,546.80x = 51,810.84 × 20,778
  4. Step 4: Simplify right side
    37,546.80x = 1,076,525,633.52
  5. Step 5: Solve for x
    x = 1,076,525,633.52/37,546.80
  6. Step 6: Final answer
    x = 28,671.57

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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.