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Finding the Fourth Proportional to 82,189.17, 113,421.06 and 44,463.42

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Solution

The fourth proportional to 82,189.17, 113,421.06 and 44,463.42 is: 61,359.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,189.17 : 113,421.06 = 44,463.42 : x
  2. Step 2: Convert to fraction form
    82,189.17/113,421.06 = 44,463.42/x
  3. Step 3: Cross multiply
    82,189.17x = 113,421.06 × 44,463.42
  4. Step 4: Simplify right side
    82,189.17x = 5,043,088,227.63
  5. Step 5: Solve for x
    x = 5,043,088,227.63/82,189.17
  6. Step 6: Final answer
    x = 61,359.52

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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.