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Finding the Fourth Proportional to 37,083.64, 55,628.88 and 12,123.82

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Solution

The fourth proportional to 37,083.64, 55,628.88 and 12,123.82 is: 18,186.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,083.64 : 55,628.88 = 12,123.82 : x
  2. Step 2: Convert to fraction form
    37,083.64/55,628.88 = 12,123.82/x
  3. Step 3: Cross multiply
    37,083.64x = 55,628.88 × 12,123.82
  4. Step 4: Simplify right side
    37,083.64x = 674,434,497.61
  5. Step 5: Solve for x
    x = 674,434,497.61/37,083.64
  6. Step 6: Final answer
    x = 18,186.85

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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.