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Finding the Fourth Proportional to 49,706.30, 74,514.96 and 18,094.06

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Solution

The fourth proportional to 49,706.30, 74,514.96 and 18,094.06 is: 27,124.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,706.30 : 74,514.96 = 18,094.06 : x
  2. Step 2: Convert to fraction form
    49,706.30/74,514.96 = 18,094.06/x
  3. Step 3: Cross multiply
    49,706.30x = 74,514.96 × 18,094.06
  4. Step 4: Simplify right side
    49,706.30x = 1,348,278,157.14
  5. Step 5: Solve for x
    x = 1,348,278,157.14/49,706.30
  6. Step 6: Final answer
    x = 27,124.89

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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.