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Finding the Fourth Proportional to 59,697.21, 82,384.92 and 32,839.23

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Solution

The fourth proportional to 59,697.21, 82,384.92 and 32,839.23 is: 45,319.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,697.21 : 82,384.92 = 32,839.23 : x
  2. Step 2: Convert to fraction form
    59,697.21/82,384.92 = 32,839.23/x
  3. Step 3: Cross multiply
    59,697.21x = 82,384.92 × 32,839.23
  4. Step 4: Simplify right side
    59,697.21x = 2,705,457,336.41
  5. Step 5: Solve for x
    x = 2,705,457,336.41/59,697.21
  6. Step 6: Final answer
    x = 45,319.66

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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.