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Finding the Fourth Proportional to 51,120, 70,566.72 and 33,891.84

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Solution

The fourth proportional to 51,120, 70,566.72 and 33,891.84 is: 46,784.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,120 : 70,566.72 = 33,891.84 : x
  2. Step 2: Convert to fraction form
    51,120/70,566.72 = 33,891.84/x
  3. Step 3: Cross multiply
    51,120x = 70,566.72 × 33,891.84
  4. Step 4: Simplify right side
    51,120x = 2,391,635,983.56
  5. Step 5: Solve for x
    x = 2,391,635,983.56/51,120
  6. Step 6: Final answer
    x = 46,784.74

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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.