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Finding the Fourth Proportional to 54,611.16, 81,946.16 and 23,043.09

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Solution

The fourth proportional to 54,611.16, 81,946.16 and 23,043.09 is: 34,577.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,611.16 : 81,946.16 = 23,043.09 : x
  2. Step 2: Convert to fraction form
    54,611.16/81,946.16 = 23,043.09/x
  3. Step 3: Cross multiply
    54,611.16x = 81,946.16 × 23,043.09
  4. Step 4: Simplify right side
    54,611.16x = 1,888,292,740.03
  5. Step 5: Solve for x
    x = 1,888,292,740.03/54,611.16
  6. Step 6: Final answer
    x = 34,577.05

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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.