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Finding the Fourth Proportional to 50,711.32, 69,985.86 and 33,685.48

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Solution

The fourth proportional to 50,711.32, 69,985.86 and 33,685.48 is: 46,488.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,711.32 : 69,985.86 = 33,685.48 : x
  2. Step 2: Convert to fraction form
    50,711.32/69,985.86 = 33,685.48/x
  3. Step 3: Cross multiply
    50,711.32x = 69,985.86 × 33,685.48
  4. Step 4: Simplify right side
    50,711.32x = 2,357,507,287.31
  5. Step 5: Solve for x
    x = 2,357,507,287.31/50,711.32
  6. Step 6: Final answer
    x = 46,488.78

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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.