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Finding the Fourth Proportional to 40,382.65, 55,696.71 and 35,850.12

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Solution

The fourth proportional to 40,382.65, 55,696.71 and 35,850.12 is: 49,445.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,382.65 : 55,696.71 = 35,850.12 : x
  2. Step 2: Convert to fraction form
    40,382.65/55,696.71 = 35,850.12/x
  3. Step 3: Cross multiply
    40,382.65x = 55,696.71 × 35,850.12
  4. Step 4: Simplify right side
    40,382.65x = 1,996,733,737.11
  5. Step 5: Solve for x
    x = 1,996,733,737.11/40,382.65
  6. Step 6: Final answer
    x = 49,445.34

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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.