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Finding the Fourth Proportional to 38,109.66, 57,166.06 and 14,414.88

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Solution

The fourth proportional to 38,109.66, 57,166.06 and 14,414.88 is: 21,622.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,109.66 : 57,166.06 = 14,414.88 : x
  2. Step 2: Convert to fraction form
    38,109.66/57,166.06 = 14,414.88/x
  3. Step 3: Cross multiply
    38,109.66x = 57,166.06 × 14,414.88
  4. Step 4: Simplify right side
    38,109.66x = 824,041,894.97
  5. Step 5: Solve for x
    x = 824,041,894.97/38,109.66
  6. Step 6: Final answer
    x = 21,622.91

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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.