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Finding the Fourth Proportional to 54,926.80, 82,409.40 and 23,784.40

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Solution

The fourth proportional to 54,926.80, 82,409.40 and 23,784.40 is: 35,684.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,926.80 : 82,409.40 = 23,784.40 : x
  2. Step 2: Convert to fraction form
    54,926.80/82,409.40 = 23,784.40/x
  3. Step 3: Cross multiply
    54,926.80x = 82,409.40 × 23,784.40
  4. Step 4: Simplify right side
    54,926.80x = 1,960,058,133.36
  5. Step 5: Solve for x
    x = 1,960,058,133.36/54,926.80
  6. Step 6: Final answer
    x = 35,684.91

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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.