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Finding the Fourth Proportional to 76,696.57, 105,804.12 and 49,465.45

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Solution

The fourth proportional to 76,696.57, 105,804.12 and 49,465.45 is: 68,238.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,696.57 : 105,804.12 = 49,465.45 : x
  2. Step 2: Convert to fraction form
    76,696.57/105,804.12 = 49,465.45/x
  3. Step 3: Cross multiply
    76,696.57x = 105,804.12 × 49,465.45
  4. Step 4: Simplify right side
    76,696.57x = 5,233,648,407.65
  5. Step 5: Solve for x
    x = 5,233,648,407.65/76,696.57
  6. Step 6: Final answer
    x = 68,238.36

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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.