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Finding the Fourth Proportional to 37,530.41, 56,291.42 and 9,450.45

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Solution

The fourth proportional to 37,530.41, 56,291.42 and 9,450.45 is: 14,174.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,530.41 : 56,291.42 = 9,450.45 : x
  2. Step 2: Convert to fraction form
    37,530.41/56,291.42 = 9,450.45/x
  3. Step 3: Cross multiply
    37,530.41x = 56,291.42 × 9,450.45
  4. Step 4: Simplify right side
    37,530.41x = 531,979,202.89
  5. Step 5: Solve for x
    x = 531,979,202.89/37,530.41
  6. Step 6: Final answer
    x = 14,174.62

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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.