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Finding the Fourth Proportional to 36,977.60, 51,025.14 and 21,870.80

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Solution

The fourth proportional to 36,977.60, 51,025.14 and 21,870.80 is: 30,179.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,977.60 : 51,025.14 = 21,870.80 : x
  2. Step 2: Convert to fraction form
    36,977.60/51,025.14 = 21,870.80/x
  3. Step 3: Cross multiply
    36,977.60x = 51,025.14 × 21,870.80
  4. Step 4: Simplify right side
    36,977.60x = 1,115,960,631.91
  5. Step 5: Solve for x
    x = 1,115,960,631.91/36,977.60
  6. Step 6: Final answer
    x = 30,179.37

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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.