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Finding the Fourth Proportional to 54,302.60, 81,389.10 and 22,712.60

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Solution

The fourth proportional to 54,302.60, 81,389.10 and 22,712.60 is: 34,041.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,302.60 : 81,389.10 = 22,712.60 : x
  2. Step 2: Convert to fraction form
    54,302.60/81,389.10 = 22,712.60/x
  3. Step 3: Cross multiply
    54,302.60x = 81,389.10 × 22,712.60
  4. Step 4: Simplify right side
    54,302.60x = 1,848,558,072.66
  5. Step 5: Solve for x
    x = 1,848,558,072.66/54,302.60
  6. Step 6: Final answer
    x = 34,041.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.