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Finding the Fourth Proportional to 37,712.16, 51,999.84 and 24,081.84

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Solution

The fourth proportional to 37,712.16, 51,999.84 and 24,081.84 is: 33,205.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,712.16 : 51,999.84 = 24,081.84 : x
  2. Step 2: Convert to fraction form
    37,712.16/51,999.84 = 24,081.84/x
  3. Step 3: Cross multiply
    37,712.16x = 51,999.84 × 24,081.84
  4. Step 4: Simplify right side
    37,712.16x = 1,252,251,826.91
  5. Step 5: Solve for x
    x = 1,252,251,826.91/37,712.16
  6. Step 6: Final answer
    x = 33,205.52

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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.