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Finding the Fourth Proportional to 82,244.34, 123,348.06 and 37,828.42

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Solution

The fourth proportional to 82,244.34, 123,348.06 and 37,828.42 is: 56,734.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,244.34 : 123,348.06 = 37,828.42 : x
  2. Step 2: Convert to fraction form
    82,244.34/123,348.06 = 37,828.42/x
  3. Step 3: Cross multiply
    82,244.34x = 123,348.06 × 37,828.42
  4. Step 4: Simplify right side
    82,244.34x = 4,666,062,030.72
  5. Step 5: Solve for x
    x = 4,666,062,030.72/82,244.34
  6. Step 6: Final answer
    x = 56,734.14

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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.