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Finding the Fourth Proportional to 71,978.68, 107,980.78 and 34,606.50

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Solution

The fourth proportional to 71,978.68, 107,980.78 and 34,606.50 is: 51,915.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,978.68 : 107,980.78 = 34,606.50 : x
  2. Step 2: Convert to fraction form
    71,978.68/107,980.78 = 34,606.50/x
  3. Step 3: Cross multiply
    71,978.68x = 107,980.78 × 34,606.50
  4. Step 4: Simplify right side
    71,978.68x = 3,736,836,863.07
  5. Step 5: Solve for x
    x = 3,736,836,863.07/71,978.68
  6. Step 6: Final answer
    x = 51,915.88

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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.