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Finding the Fourth Proportional to 59,829.38, 82,563.53 and 32,971.31

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Solution

The fourth proportional to 59,829.38, 82,563.53 and 32,971.31 is: 45,499.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,829.38 : 82,563.53 = 32,971.31 : x
  2. Step 2: Convert to fraction form
    59,829.38/82,563.53 = 32,971.31/x
  3. Step 3: Cross multiply
    59,829.38x = 82,563.53 × 32,971.31
  4. Step 4: Simplify right side
    59,829.38x = 2,722,228,031.16
  5. Step 5: Solve for x
    x = 2,722,228,031.16/59,829.38
  6. Step 6: Final answer
    x = 45,499.85

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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.