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Finding the Fourth Proportional to 37,152, 55,731.24 and 9,450

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Solution

The fourth proportional to 37,152, 55,731.24 and 9,450 is: 14,175.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,152 : 55,731.24 = 9,450 : x
  2. Step 2: Convert to fraction form
    37,152/55,731.24 = 9,450/x
  3. Step 3: Cross multiply
    37,152x = 55,731.24 × 9,450
  4. Step 4: Simplify right side
    37,152x = 526,660,218
  5. Step 5: Solve for x
    x = 526,660,218/37,152
  6. Step 6: Final answer
    x = 14,175.82

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Why These Related Problems?

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