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Finding the Fourth Proportional to 59,563.80, 82,192.92 and 32,706

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Solution

The fourth proportional to 59,563.80, 82,192.92 and 32,706 is: 45,131.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,563.80 : 82,192.92 = 32,706 : x
  2. Step 2: Convert to fraction form
    59,563.80/82,192.92 = 32,706/x
  3. Step 3: Cross multiply
    59,563.80x = 82,192.92 × 32,706
  4. Step 4: Simplify right side
    59,563.80x = 2,688,201,641.52
  5. Step 5: Solve for x
    x = 2,688,201,641.52/59,563.80
  6. Step 6: Final answer
    x = 45,131.47

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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.