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Finding the Fourth Proportional to 81,415.50, 112,351.38 and 45,605.28

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Solution

The fourth proportional to 81,415.50, 112,351.38 and 45,605.28 is: 62,934.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,415.50 : 112,351.38 = 45,605.28 : x
  2. Step 2: Convert to fraction form
    81,415.50/112,351.38 = 45,605.28/x
  3. Step 3: Cross multiply
    81,415.50x = 112,351.38 × 45,605.28
  4. Step 4: Simplify right side
    81,415.50x = 5,123,816,143.29
  5. Step 5: Solve for x
    x = 5,123,816,143.29/81,415.50
  6. Step 6: Final answer
    x = 62,934.16

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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.