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Finding the Fourth Proportional to 38,101.50, 52,578.45 and 21,105.68

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Solution

The fourth proportional to 38,101.50, 52,578.45 and 21,105.68 is: 29,124.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,101.50 : 52,578.45 = 21,105.68 : x
  2. Step 2: Convert to fraction form
    38,101.50/52,578.45 = 21,105.68/x
  3. Step 3: Cross multiply
    38,101.50x = 52,578.45 × 21,105.68
  4. Step 4: Simplify right side
    38,101.50x = 1,109,703,677.70
  5. Step 5: Solve for x
    x = 1,109,703,677.70/38,101.50
  6. Step 6: Final answer
    x = 29,124.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.