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Finding the Fourth Proportional to 82,789.98, 114,244.50 and 45,063.42

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Solution

The fourth proportional to 82,789.98, 114,244.50 and 45,063.42 is: 62,184.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,789.98 : 114,244.50 = 45,063.42 : x
  2. Step 2: Convert to fraction form
    82,789.98/114,244.50 = 45,063.42/x
  3. Step 3: Cross multiply
    82,789.98x = 114,244.50 × 45,063.42
  4. Step 4: Simplify right side
    82,789.98x = 5,148,247,886.19
  5. Step 5: Solve for x
    x = 5,148,247,886.19/82,789.98
  6. Step 6: Final answer
    x = 62,184.43

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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.