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Finding the Fourth Proportional to 81,633.94, 112,655.28 and 45,824.38

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Solution

The fourth proportional to 81,633.94, 112,655.28 and 45,824.38 is: 63,237.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,633.94 : 112,655.28 = 45,824.38 : x
  2. Step 2: Convert to fraction form
    81,633.94/112,655.28 = 45,824.38/x
  3. Step 3: Cross multiply
    81,633.94x = 112,655.28 × 45,824.38
  4. Step 4: Simplify right side
    81,633.94x = 5,162,358,359.73
  5. Step 5: Solve for x
    x = 5,162,358,359.73/81,633.94
  6. Step 6: Final answer
    x = 63,237.89

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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.