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Finding the Fourth Proportional to 41,454, 62,181.18 and 13,752

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Solution

The fourth proportional to 41,454, 62,181.18 and 13,752 is: 20,628.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,454 : 62,181.18 = 13,752 : x
  2. Step 2: Convert to fraction form
    41,454/62,181.18 = 13,752/x
  3. Step 3: Cross multiply
    41,454x = 62,181.18 × 13,752
  4. Step 4: Simplify right side
    41,454x = 855,115,587.36
  5. Step 5: Solve for x
    x = 855,115,587.36/41,454
  6. Step 6: Final answer
    x = 20,628.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.