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Finding the Fourth Proportional to 57,124.84, 78,826.98 and 31,965.16

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Solution

The fourth proportional to 57,124.84, 78,826.98 and 31,965.16 is: 44,108.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,124.84 : 78,826.98 = 31,965.16 : x
  2. Step 2: Convert to fraction form
    57,124.84/78,826.98 = 31,965.16/x
  3. Step 3: Cross multiply
    57,124.84x = 78,826.98 × 31,965.16
  4. Step 4: Simplify right side
    57,124.84x = 2,519,717,028.02
  5. Step 5: Solve for x
    x = 2,519,717,028.02/57,124.84
  6. Step 6: Final answer
    x = 44,108.96

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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.