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Finding the Fourth Proportional to 41,547.80, 62,329.80 and 17,855.30

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Solution

The fourth proportional to 41,547.80, 62,329.80 and 17,855.30 is: 26,786.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,547.80 : 62,329.80 = 17,855.30 : x
  2. Step 2: Convert to fraction form
    41,547.80/62,329.80 = 17,855.30/x
  3. Step 3: Cross multiply
    41,547.80x = 62,329.80 × 17,855.30
  4. Step 4: Simplify right side
    41,547.80x = 1,112,917,277.94
  5. Step 5: Solve for x
    x = 1,112,917,277.94/41,547.80
  6. Step 6: Final answer
    x = 26,786.43

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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.