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Finding the Fourth Proportional to 57,121, 78,827.25 and 31,975.36

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Solution

The fourth proportional to 57,121, 78,827.25 and 31,975.36 is: 44,126.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,121 : 78,827.25 = 31,975.36 : x
  2. Step 2: Convert to fraction form
    57,121/78,827.25 = 31,975.36/x
  3. Step 3: Cross multiply
    57,121x = 78,827.25 × 31,975.36
  4. Step 4: Simplify right side
    57,121x = 2,520,529,696.56
  5. Step 5: Solve for x
    x = 2,520,529,696.56/57,121
  6. Step 6: Final answer
    x = 44,126.15

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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.