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Finding the Fourth Proportional to 54,478.50, 75,176.30 and 30,609.16

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Solution

The fourth proportional to 54,478.50, 75,176.30 and 30,609.16 is: 42,238.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,478.50 : 75,176.30 = 30,609.16 : x
  2. Step 2: Convert to fraction form
    54,478.50/75,176.30 = 30,609.16/x
  3. Step 3: Cross multiply
    54,478.50x = 75,176.30 × 30,609.16
  4. Step 4: Simplify right side
    54,478.50x = 2,301,083,394.91
  5. Step 5: Solve for x
    x = 2,301,083,394.91/54,478.50
  6. Step 6: Final answer
    x = 42,238.38

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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.