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Finding the Fourth Proportional to 51,763.32, 71,436 and 31,616.94

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Solution

The fourth proportional to 51,763.32, 71,436 and 31,616.94 is: 43,632.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,763.32 : 71,436 = 31,616.94 : x
  2. Step 2: Convert to fraction form
    51,763.32/71,436 = 31,616.94/x
  3. Step 3: Cross multiply
    51,763.32x = 71,436 × 31,616.94
  4. Step 4: Simplify right side
    51,763.32x = 2,258,587,725.84
  5. Step 5: Solve for x
    x = 2,258,587,725.84/51,763.32
  6. Step 6: Final answer
    x = 43,632.98

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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.