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Finding the Fourth Proportional to 50,463.84, 75,710.34 and 20,876.16

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Solution

The fourth proportional to 50,463.84, 75,710.34 and 20,876.16 is: 31,320.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,463.84 : 75,710.34 = 20,876.16 : x
  2. Step 2: Convert to fraction form
    50,463.84/75,710.34 = 20,876.16/x
  3. Step 3: Cross multiply
    50,463.84x = 75,710.34 × 20,876.16
  4. Step 4: Simplify right side
    50,463.84x = 1,580,541,171.49
  5. Step 5: Solve for x
    x = 1,580,541,171.49/50,463.84
  6. Step 6: Final answer
    x = 31,320.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.