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Finding the Fourth Proportional to 59,420.31, 82,000.08 and 32,563.80

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Solution

The fourth proportional to 59,420.31, 82,000.08 and 32,563.80 is: 44,938.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,420.31 : 82,000.08 = 32,563.80 : x
  2. Step 2: Convert to fraction form
    59,420.31/82,000.08 = 32,563.80/x
  3. Step 3: Cross multiply
    59,420.31x = 82,000.08 × 32,563.80
  4. Step 4: Simplify right side
    59,420.31x = 2,670,234,205.10
  5. Step 5: Solve for x
    x = 2,670,234,205.10/59,420.31
  6. Step 6: Final answer
    x = 44,938.07

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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.