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Finding the Fourth Proportional to 82,477.67, 123,731.91 and 37,502.33

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Solution

The fourth proportional to 82,477.67, 123,731.91 and 37,502.33 is: 56,260.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,477.67 : 123,731.91 = 37,502.33 : x
  2. Step 2: Convert to fraction form
    82,477.67/123,731.91 = 37,502.33/x
  3. Step 3: Cross multiply
    82,477.67x = 123,731.91 × 37,502.33
  4. Step 4: Simplify right side
    82,477.67x = 4,640,234,301.69
  5. Step 5: Solve for x
    x = 4,640,234,301.69/82,477.67
  6. Step 6: Final answer
    x = 56,260.50

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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.