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Finding the Fourth Proportional to 33,681, 46,479.17 and 18,575.06

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Solution

The fourth proportional to 33,681, 46,479.17 and 18,575.06 is: 25,633.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,681 : 46,479.17 = 18,575.06 : x
  2. Step 2: Convert to fraction form
    33,681/46,479.17 = 18,575.06/x
  3. Step 3: Cross multiply
    33,681x = 46,479.17 × 18,575.06
  4. Step 4: Simplify right side
    33,681x = 863,353,046.23
  5. Step 5: Solve for x
    x = 863,353,046.23/33,681
  6. Step 6: Final answer
    x = 25,633.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.