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Finding the Fourth Proportional to 94,205.60, 130,006.56 and 51,764

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Solution

The fourth proportional to 94,205.60, 130,006.56 and 51,764 is: 71,435.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,205.60 : 130,006.56 = 51,764 : x
  2. Step 2: Convert to fraction form
    94,205.60/130,006.56 = 51,764/x
  3. Step 3: Cross multiply
    94,205.60x = 130,006.56 × 51,764
  4. Step 4: Simplify right side
    94,205.60x = 6,729,659,571.84
  5. Step 5: Solve for x
    x = 6,729,659,571.84/94,205.60
  6. Step 6: Final answer
    x = 71,435.88

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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.