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Finding the Fourth Proportional to 51,963.94, 71,693.92 and 31,799.80

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Solution

The fourth proportional to 51,963.94, 71,693.92 and 31,799.80 is: 43,873.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,963.94 : 71,693.92 = 31,799.80 : x
  2. Step 2: Convert to fraction form
    51,963.94/71,693.92 = 31,799.80/x
  3. Step 3: Cross multiply
    51,963.94x = 71,693.92 × 31,799.80
  4. Step 4: Simplify right side
    51,963.94x = 2,279,852,317.22
  5. Step 5: Solve for x
    x = 2,279,852,317.22/51,963.94
  6. Step 6: Final answer
    x = 43,873.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.