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Finding the Fourth Proportional to 131,051.25, 196,576.92 and 37,557

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Solution

The fourth proportional to 131,051.25, 196,576.92 and 37,557 is: 56,335.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,051.25 : 196,576.92 = 37,557 : x
  2. Step 2: Convert to fraction form
    131,051.25/196,576.92 = 37,557/x
  3. Step 3: Cross multiply
    131,051.25x = 196,576.92 × 37,557
  4. Step 4: Simplify right side
    131,051.25x = 7,382,839,384.44
  5. Step 5: Solve for x
    x = 7,382,839,384.44/131,051.25
  6. Step 6: Final answer
    x = 56,335.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.