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Finding the Fourth Proportional to 51,768.68, 71,399.04 and 34,767.77

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Solution

The fourth proportional to 51,768.68, 71,399.04 and 34,767.77 is: 47,951.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,768.68 : 71,399.04 = 34,767.77 : x
  2. Step 2: Convert to fraction form
    51,768.68/71,399.04 = 34,767.77/x
  3. Step 3: Cross multiply
    51,768.68x = 71,399.04 × 34,767.77
  4. Step 4: Simplify right side
    51,768.68x = 2,482,385,400.94
  5. Step 5: Solve for x
    x = 2,482,385,400.94/51,768.68
  6. Step 6: Final answer
    x = 47,951.49

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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.