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Finding the Fourth Proportional to 45,889.52, 63,321.90 and 27,023

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Solution

The fourth proportional to 45,889.52, 63,321.90 and 27,023 is: 37,288.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,889.52 : 63,321.90 = 27,023 : x
  2. Step 2: Convert to fraction form
    45,889.52/63,321.90 = 27,023/x
  3. Step 3: Cross multiply
    45,889.52x = 63,321.90 × 27,023
  4. Step 4: Simplify right side
    45,889.52x = 1,711,147,703.70
  5. Step 5: Solve for x
    x = 1,711,147,703.70/45,889.52
  6. Step 6: Final answer
    x = 37,288.42

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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.