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Finding the Fourth Proportional to 37,205.30, 55,851.15 and 21,422.90

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Solution

The fourth proportional to 37,205.30, 55,851.15 and 21,422.90 is: 32,159.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,205.30 : 55,851.15 = 21,422.90 : x
  2. Step 2: Convert to fraction form
    37,205.30/55,851.15 = 21,422.90/x
  3. Step 3: Cross multiply
    37,205.30x = 55,851.15 × 21,422.90
  4. Step 4: Simplify right side
    37,205.30x = 1,196,493,601.34
  5. Step 5: Solve for x
    x = 1,196,493,601.34/37,205.30
  6. Step 6: Final answer
    x = 32,159.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.