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Finding the Fourth Proportional to 38,196.32, 57,294.50 and 14,503.89

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Solution

The fourth proportional to 38,196.32, 57,294.50 and 14,503.89 is: 21,755.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,196.32 : 57,294.50 = 14,503.89 : x
  2. Step 2: Convert to fraction form
    38,196.32/57,294.50 = 14,503.89/x
  3. Step 3: Cross multiply
    38,196.32x = 57,294.50 × 14,503.89
  4. Step 4: Simplify right side
    38,196.32x = 830,993,053.09
  5. Step 5: Solve for x
    x = 830,993,053.09/38,196.32
  6. Step 6: Final answer
    x = 21,755.84

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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.