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Finding the Fourth Proportional to 54,478.76, 75,176.64 and 30,609.41

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Solution

The fourth proportional to 54,478.76, 75,176.64 and 30,609.41 is: 42,238.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,478.76 : 75,176.64 = 30,609.41 : x
  2. Step 2: Convert to fraction form
    54,478.76/75,176.64 = 30,609.41/x
  3. Step 3: Cross multiply
    54,478.76x = 75,176.64 × 30,609.41
  4. Step 4: Simplify right side
    54,478.76x = 2,301,112,220.30
  5. Step 5: Solve for x
    x = 2,301,112,220.30/54,478.76
  6. Step 6: Final answer
    x = 42,238.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.