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Finding the Fourth Proportional to 37,152, 55,723.52 and 9,450.24

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Solution

The fourth proportional to 37,152, 55,723.52 and 9,450.24 is: 14,174.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,152 : 55,723.52 = 9,450.24 : x
  2. Step 2: Convert to fraction form
    37,152/55,723.52 = 9,450.24/x
  3. Step 3: Cross multiply
    37,152x = 55,723.52 × 9,450.24
  4. Step 4: Simplify right side
    37,152x = 526,600,637.64
  5. Step 5: Solve for x
    x = 526,600,637.64/37,152
  6. Step 6: Final answer
    x = 14,174.22

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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.