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Finding the Fourth Proportional to 36,977.31, 50,921.19 and 32,130

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Solution

The fourth proportional to 36,977.31, 50,921.19 and 32,130 is: 44,245.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,977.31 : 50,921.19 = 32,130 : x
  2. Step 2: Convert to fraction form
    36,977.31/50,921.19 = 32,130/x
  3. Step 3: Cross multiply
    36,977.31x = 50,921.19 × 32,130
  4. Step 4: Simplify right side
    36,977.31x = 1,636,097,834.70
  5. Step 5: Solve for x
    x = 1,636,097,834.70/36,977.31
  6. Step 6: Final answer
    x = 44,245.99

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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.