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Finding the Fourth Proportional to 27,029.40, 40,544.10 and 17,698.20

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Solution

The fourth proportional to 27,029.40, 40,544.10 and 17,698.20 is: 26,547.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,029.40 : 40,544.10 = 17,698.20 : x
  2. Step 2: Convert to fraction form
    27,029.40/40,544.10 = 17,698.20/x
  3. Step 3: Cross multiply
    27,029.40x = 40,544.10 × 17,698.20
  4. Step 4: Simplify right side
    27,029.40x = 717,557,590.62
  5. Step 5: Solve for x
    x = 717,557,590.62/27,029.40
  6. Step 6: Final answer
    x = 26,547.30

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