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Finding the Fourth Proportional to 78,128.50, 117,192.78 and 21,974.58

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Solution

The fourth proportional to 78,128.50, 117,192.78 and 21,974.58 is: 32,961.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,128.50 : 117,192.78 = 21,974.58 : x
  2. Step 2: Convert to fraction form
    78,128.50/117,192.78 = 21,974.58/x
  3. Step 3: Cross multiply
    78,128.50x = 117,192.78 × 21,974.58
  4. Step 4: Simplify right side
    78,128.50x = 2,575,262,119.53
  5. Step 5: Solve for x
    x = 2,575,262,119.53/78,128.50
  6. Step 6: Final answer
    x = 32,961.88

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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.