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Finding the Fourth Proportional to 55,456.40, 83,195.40 and 23,866.40

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Solution

The fourth proportional to 55,456.40, 83,195.40 and 23,866.40 is: 35,804.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,456.40 : 83,195.40 = 23,866.40 : x
  2. Step 2: Convert to fraction form
    55,456.40/83,195.40 = 23,866.40/x
  3. Step 3: Cross multiply
    55,456.40x = 83,195.40 × 23,866.40
  4. Step 4: Simplify right side
    55,456.40x = 1,985,574,694.56
  5. Step 5: Solve for x
    x = 1,985,574,694.56/55,456.40
  6. Step 6: Final answer
    x = 35,804.25

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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.