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Finding the Fourth Proportional to 82,352.70, 123,549.30 and 23,187.60

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Solution

The fourth proportional to 82,352.70, 123,549.30 and 23,187.60 is: 34,787.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,352.70 : 123,549.30 = 23,187.60 : x
  2. Step 2: Convert to fraction form
    82,352.70/123,549.30 = 23,187.60/x
  3. Step 3: Cross multiply
    82,352.70x = 123,549.30 × 23,187.60
  4. Step 4: Simplify right side
    82,352.70x = 2,864,811,748.68
  5. Step 5: Solve for x
    x = 2,864,811,748.68/82,352.70
  6. Step 6: Final answer
    x = 34,787.10

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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.