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Finding the Fourth Proportional to 54,558.71, 75,290.28 and 30,685.38

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Solution

The fourth proportional to 54,558.71, 75,290.28 and 30,685.38 is: 42,345.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,558.71 : 75,290.28 = 30,685.38 : x
  2. Step 2: Convert to fraction form
    54,558.71/75,290.28 = 30,685.38/x
  3. Step 3: Cross multiply
    54,558.71x = 75,290.28 × 30,685.38
  4. Step 4: Simplify right side
    54,558.71x = 2,310,311,137.11
  5. Step 5: Solve for x
    x = 2,310,311,137.11/54,558.71
  6. Step 6: Final answer
    x = 42,345.41

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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.