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Finding the Fourth Proportional to 51,257.16, 70,722.81 and 31,113.54

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Solution

The fourth proportional to 51,257.16, 70,722.81 and 31,113.54 is: 42,929.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,257.16 : 70,722.81 = 31,113.54 : x
  2. Step 2: Convert to fraction form
    51,257.16/70,722.81 = 31,113.54/x
  3. Step 3: Cross multiply
    51,257.16x = 70,722.81 × 31,113.54
  4. Step 4: Simplify right side
    51,257.16x = 2,200,436,977.85
  5. Step 5: Solve for x
    x = 2,200,436,977.85/51,257.16
  6. Step 6: Final answer
    x = 42,929.36

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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.