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Finding the Fourth Proportional to 100,537.33, 150,805.89 and 25,657.47

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Solution

The fourth proportional to 100,537.33, 150,805.89 and 25,657.47 is: 38,486.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,537.33 : 150,805.89 = 25,657.47 : x
  2. Step 2: Convert to fraction form
    100,537.33/150,805.89 = 25,657.47/x
  3. Step 3: Cross multiply
    100,537.33x = 150,805.89 × 25,657.47
  4. Step 4: Simplify right side
    100,537.33x = 3,869,297,598.50
  5. Step 5: Solve for x
    x = 3,869,297,598.50/100,537.33
  6. Step 6: Final answer
    x = 38,486.18

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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.