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Finding the Fourth Proportional to 59,662.30, 82,334.04 and 32,805.28

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Solution

The fourth proportional to 59,662.30, 82,334.04 and 32,805.28 is: 45,271.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,662.30 : 82,334.04 = 32,805.28 : x
  2. Step 2: Convert to fraction form
    59,662.30/82,334.04 = 32,805.28/x
  3. Step 3: Cross multiply
    59,662.30x = 82,334.04 × 32,805.28
  4. Step 4: Simplify right side
    59,662.30x = 2,700,991,235.73
  5. Step 5: Solve for x
    x = 2,700,991,235.73/59,662.30
  6. Step 6: Final answer
    x = 45,271.32

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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.