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Finding the Fourth Proportional to 83,548.96, 115,299.36 and 45,823.12

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Solution

The fourth proportional to 83,548.96, 115,299.36 and 45,823.12 is: 63,236.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,548.96 : 115,299.36 = 45,823.12 : x
  2. Step 2: Convert to fraction form
    83,548.96/115,299.36 = 45,823.12/x
  3. Step 3: Cross multiply
    83,548.96x = 115,299.36 × 45,823.12
  4. Step 4: Simplify right side
    83,548.96x = 5,283,376,409.20
  5. Step 5: Solve for x
    x = 5,283,376,409.20/83,548.96
  6. Step 6: Final answer
    x = 63,236.89

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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.