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Finding the Fourth Proportional to 37,541.44, 56,311.08 and 9,461.44

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Solution

The fourth proportional to 37,541.44, 56,311.08 and 9,461.44 is: 14,191.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,541.44 : 56,311.08 = 9,461.44 : x
  2. Step 2: Convert to fraction form
    37,541.44/56,311.08 = 9,461.44/x
  3. Step 3: Cross multiply
    37,541.44x = 56,311.08 × 9,461.44
  4. Step 4: Simplify right side
    37,541.44x = 532,783,904.76
  5. Step 5: Solve for x
    x = 532,783,904.76/37,541.44
  6. Step 6: Final answer
    x = 14,191.89

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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.