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Finding the Fourth Proportional to 54,990.38, 75,886.79 and 31,116.57

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Solution

The fourth proportional to 54,990.38, 75,886.79 and 31,116.57 is: 42,940.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,990.38 : 75,886.79 = 31,116.57 : x
  2. Step 2: Convert to fraction form
    54,990.38/75,886.79 = 31,116.57/x
  3. Step 3: Cross multiply
    54,990.38x = 75,886.79 × 31,116.57
  4. Step 4: Simplify right side
    54,990.38x = 2,361,336,457.53
  5. Step 5: Solve for x
    x = 2,361,336,457.53/54,990.38
  6. Step 6: Final answer
    x = 42,940.90

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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.