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Finding the Fourth Proportional to 45,974.52, 69,049.26 and 28,566

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Solution

The fourth proportional to 45,974.52, 69,049.26 and 28,566 is: 42,903.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,974.52 : 69,049.26 = 28,566 : x
  2. Step 2: Convert to fraction form
    45,974.52/69,049.26 = 28,566/x
  3. Step 3: Cross multiply
    45,974.52x = 69,049.26 × 28,566
  4. Step 4: Simplify right side
    45,974.52x = 1,972,461,161.16
  5. Step 5: Solve for x
    x = 1,972,461,161.16/45,974.52
  6. Step 6: Final answer
    x = 42,903.36

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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.