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Finding the Fourth Proportional to 37,141.60, 51,238.02 and 24,415.96

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Solution

The fourth proportional to 37,141.60, 51,238.02 and 24,415.96 is: 33,682.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,141.60 : 51,238.02 = 24,415.96 : x
  2. Step 2: Convert to fraction form
    37,141.60/51,238.02 = 24,415.96/x
  3. Step 3: Cross multiply
    37,141.60x = 51,238.02 × 24,415.96
  4. Step 4: Simplify right side
    37,141.60x = 1,251,025,446.80
  5. Step 5: Solve for x
    x = 1,251,025,446.80/37,141.60
  6. Step 6: Final answer
    x = 33,682.59

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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.