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Finding the Fourth Proportional to 81,406.48, 112,340.95 and 49,575.38

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Solution

The fourth proportional to 81,406.48, 112,340.95 and 49,575.38 is: 68,414.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,406.48 : 112,340.95 = 49,575.38 : x
  2. Step 2: Convert to fraction form
    81,406.48/112,340.95 = 49,575.38/x
  3. Step 3: Cross multiply
    81,406.48x = 112,340.95 × 49,575.38
  4. Step 4: Simplify right side
    81,406.48x = 5,569,345,303.66
  5. Step 5: Solve for x
    x = 5,569,345,303.66/81,406.48
  6. Step 6: Final answer
    x = 68,414.03

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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.