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Finding the Fourth Proportional to 57,962.50, 79,988.25 and 32,812

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Solution

The fourth proportional to 57,962.50, 79,988.25 and 32,812 is: 45,280.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,962.50 : 79,988.25 = 32,812 : x
  2. Step 2: Convert to fraction form
    57,962.50/79,988.25 = 32,812/x
  3. Step 3: Cross multiply
    57,962.50x = 79,988.25 × 32,812
  4. Step 4: Simplify right side
    57,962.50x = 2,624,574,459
  5. Step 5: Solve for x
    x = 2,624,574,459/57,962.50
  6. Step 6: Final answer
    x = 45,280.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.