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Finding the Fourth Proportional to 37,597.74, 51,861.42 and 24,186.48

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Solution

The fourth proportional to 37,597.74, 51,861.42 and 24,186.48 is: 33,362.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,597.74 : 51,861.42 = 24,186.48 : x
  2. Step 2: Convert to fraction form
    37,597.74/51,861.42 = 24,186.48/x
  3. Step 3: Cross multiply
    37,597.74x = 51,861.42 × 24,186.48
  4. Step 4: Simplify right side
    37,597.74x = 1,254,345,197.60
  5. Step 5: Solve for x
    x = 1,254,345,197.60/37,597.74
  6. Step 6: Final answer
    x = 33,362.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.