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Finding the Fourth Proportional to 54,478.63, 75,176.47 and 30,609.28

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Solution

The fourth proportional to 54,478.63, 75,176.47 and 30,609.28 is: 42,238.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,478.63 : 75,176.47 = 30,609.28 : x
  2. Step 2: Convert to fraction form
    54,478.63/75,176.47 = 30,609.28/x
  3. Step 3: Cross multiply
    54,478.63x = 75,176.47 × 30,609.28
  4. Step 4: Simplify right side
    54,478.63x = 2,301,097,619.64
  5. Step 5: Solve for x
    x = 2,301,097,619.64/54,478.63
  6. Step 6: Final answer
    x = 42,238.54

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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.