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Finding the Fourth Proportional to 82,336.59, 123,473.90 and 32,389.38

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Solution

The fourth proportional to 82,336.59, 123,473.90 and 32,389.38 is: 48,571.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,336.59 : 123,473.90 = 32,389.38 : x
  2. Step 2: Convert to fraction form
    82,336.59/123,473.90 = 32,389.38/x
  3. Step 3: Cross multiply
    82,336.59x = 123,473.90 × 32,389.38
  4. Step 4: Simplify right side
    82,336.59x = 3,999,242,905.24
  5. Step 5: Solve for x
    x = 3,999,242,905.24/82,336.59
  6. Step 6: Final answer
    x = 48,571.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.