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Finding the Fourth Proportional to 71,463.84, 107,199.96 and 24,075

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Solution

The fourth proportional to 71,463.84, 107,199.96 and 24,075 is: 36,113.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,463.84 : 107,199.96 = 24,075 : x
  2. Step 2: Convert to fraction form
    71,463.84/107,199.96 = 24,075/x
  3. Step 3: Cross multiply
    71,463.84x = 107,199.96 × 24,075
  4. Step 4: Simplify right side
    71,463.84x = 2,580,839,037
  5. Step 5: Solve for x
    x = 2,580,839,037/71,463.84
  6. Step 6: Final answer
    x = 36,113.91

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Why These Related Problems?

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