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Finding the Fourth Proportional to 50,037.84, 75,056.40 and 16,758

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Solution

The fourth proportional to 50,037.84, 75,056.40 and 16,758 is: 25,136.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,037.84 : 75,056.40 = 16,758 : x
  2. Step 2: Convert to fraction form
    50,037.84/75,056.40 = 16,758/x
  3. Step 3: Cross multiply
    50,037.84x = 75,056.40 × 16,758
  4. Step 4: Simplify right side
    50,037.84x = 1,257,795,151.20
  5. Step 5: Solve for x
    x = 1,257,795,151.20/50,037.84
  6. Step 6: Final answer
    x = 25,136.88

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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.