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Finding the Fourth Proportional to 81,882.81, 112,998.03 and 46,072.86

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Solution

The fourth proportional to 81,882.81, 112,998.03 and 46,072.86 is: 63,580.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,882.81 : 112,998.03 = 46,072.86 : x
  2. Step 2: Convert to fraction form
    81,882.81/112,998.03 = 46,072.86/x
  3. Step 3: Cross multiply
    81,882.81x = 112,998.03 × 46,072.86
  4. Step 4: Simplify right side
    81,882.81x = 5,206,142,416.47
  5. Step 5: Solve for x
    x = 5,206,142,416.47/81,882.81
  6. Step 6: Final answer
    x = 63,580.41

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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.