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Finding the Fourth Proportional to 82,266.34, 123,235.08 and 37,832.20

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Solution

The fourth proportional to 82,266.34, 123,235.08 and 37,832.20 is: 56,672.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,266.34 : 123,235.08 = 37,832.20 : x
  2. Step 2: Convert to fraction form
    82,266.34/123,235.08 = 37,832.20/x
  3. Step 3: Cross multiply
    82,266.34x = 123,235.08 × 37,832.20
  4. Step 4: Simplify right side
    82,266.34x = 4,662,254,193.58
  5. Step 5: Solve for x
    x = 4,662,254,193.58/82,266.34
  6. Step 6: Final answer
    x = 56,672.68

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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.