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Finding the Fourth Proportional to 34,945, 48,225.18 and 20,041

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Solution

The fourth proportional to 34,945, 48,225.18 and 20,041 is: 27,657.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,945 : 48,225.18 = 20,041 : x
  2. Step 2: Convert to fraction form
    34,945/48,225.18 = 20,041/x
  3. Step 3: Cross multiply
    34,945x = 48,225.18 × 20,041
  4. Step 4: Simplify right side
    34,945x = 966,480,832.38
  5. Step 5: Solve for x
    x = 966,480,832.38/34,945
  6. Step 6: Final answer
    x = 27,657.20

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Why These Related Problems?

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