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Finding the Fourth Proportional to 51,965.82, 71,724.32 and 33,784.91

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Solution

The fourth proportional to 51,965.82, 71,724.32 and 33,784.91 is: 46,630.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,965.82 : 71,724.32 = 33,784.91 : x
  2. Step 2: Convert to fraction form
    51,965.82/71,724.32 = 33,784.91/x
  3. Step 3: Cross multiply
    51,965.82x = 71,724.32 × 33,784.91
  4. Step 4: Simplify right side
    51,965.82x = 2,423,199,168.47
  5. Step 5: Solve for x
    x = 2,423,199,168.47/51,965.82
  6. Step 6: Final answer
    x = 46,630.63

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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.