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Finding the Fourth Proportional to 51,304, 70,754.16 and 33,382.48

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Solution

The fourth proportional to 51,304, 70,754.16 and 33,382.48 is: 46,038.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,304 : 70,754.16 = 33,382.48 : x
  2. Step 2: Convert to fraction form
    51,304/70,754.16 = 33,382.48/x
  3. Step 3: Cross multiply
    51,304x = 70,754.16 × 33,382.48
  4. Step 4: Simplify right side
    51,304x = 2,361,949,331.12
  5. Step 5: Solve for x
    x = 2,361,949,331.12/51,304
  6. Step 6: Final answer
    x = 46,038.31

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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.