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Finding the Fourth Proportional to 54,351.50, 74,973.20 and 34,176.40

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Solution

The fourth proportional to 54,351.50, 74,973.20 and 34,176.40 is: 47,143.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,351.50 : 74,973.20 = 34,176.40 : x
  2. Step 2: Convert to fraction form
    54,351.50/74,973.20 = 34,176.40/x
  3. Step 3: Cross multiply
    54,351.50x = 74,973.20 × 34,176.40
  4. Step 4: Simplify right side
    54,351.50x = 2,562,314,072.48
  5. Step 5: Solve for x
    x = 2,562,314,072.48/54,351.50
  6. Step 6: Final answer
    x = 47,143.39

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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.