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Finding the Fourth Proportional to 82,370.92, 123,502.38 and 32,457.64

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Solution

The fourth proportional to 82,370.92, 123,502.38 and 32,457.64 is: 48,665.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,370.92 : 123,502.38 = 32,457.64 : x
  2. Step 2: Convert to fraction form
    82,370.92/123,502.38 = 32,457.64/x
  3. Step 3: Cross multiply
    82,370.92x = 123,502.38 × 32,457.64
  4. Step 4: Simplify right side
    82,370.92x = 4,008,595,789.18
  5. Step 5: Solve for x
    x = 4,008,595,789.18/82,370.92
  6. Step 6: Final answer
    x = 48,665.18

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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.