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Finding the Fourth Proportional to 103,961, 156,010.62 and 38,297

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Solution

The fourth proportional to 103,961, 156,010.62 and 38,297 is: 57,470.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,961 : 156,010.62 = 38,297 : x
  2. Step 2: Convert to fraction form
    103,961/156,010.62 = 38,297/x
  3. Step 3: Cross multiply
    103,961x = 156,010.62 × 38,297
  4. Step 4: Simplify right side
    103,961x = 5,974,738,714.14
  5. Step 5: Solve for x
    x = 5,974,738,714.14/103,961
  6. Step 6: Final answer
    x = 57,470.96

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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.