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Finding the Fourth Proportional to 51,324.84, 70,853.94 and 34,645.32

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Solution

The fourth proportional to 51,324.84, 70,853.94 and 34,645.32 is: 47,827.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,324.84 : 70,853.94 = 34,645.32 : x
  2. Step 2: Convert to fraction form
    51,324.84/70,853.94 = 34,645.32/x
  3. Step 3: Cross multiply
    51,324.84x = 70,853.94 × 34,645.32
  4. Step 4: Simplify right side
    51,324.84x = 2,454,757,424.56
  5. Step 5: Solve for x
    x = 2,454,757,424.56/51,324.84
  6. Step 6: Final answer
    x = 47,827.86

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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.