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Finding the Fourth Proportional to 37,532.34, 56,298.60 and 11,241

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Solution

The fourth proportional to 37,532.34, 56,298.60 and 11,241 is: 16,861.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,532.34 : 56,298.60 = 11,241 : x
  2. Step 2: Convert to fraction form
    37,532.34/56,298.60 = 11,241/x
  3. Step 3: Cross multiply
    37,532.34x = 56,298.60 × 11,241
  4. Step 4: Simplify right side
    37,532.34x = 632,852,562.60
  5. Step 5: Solve for x
    x = 632,852,562.60/37,532.34
  6. Step 6: Final answer
    x = 16,861.53

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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.