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Finding the Fourth Proportional to 35,478, 48,959.10 and 19,562.04

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Solution

The fourth proportional to 35,478, 48,959.10 and 19,562.04 is: 26,995.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,478 : 48,959.10 = 19,562.04 : x
  2. Step 2: Convert to fraction form
    35,478/48,959.10 = 19,562.04/x
  3. Step 3: Cross multiply
    35,478x = 48,959.10 × 19,562.04
  4. Step 4: Simplify right side
    35,478x = 957,739,872.56
  5. Step 5: Solve for x
    x = 957,739,872.56/35,478
  6. Step 6: Final answer
    x = 26,995.32

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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.