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Finding the Fourth Proportional to 39,774.24, 59,654.88 and 12,072.24

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Solution

The fourth proportional to 39,774.24, 59,654.88 and 12,072.24 is: 18,106.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,774.24 : 59,654.88 = 12,072.24 : x
  2. Step 2: Convert to fraction form
    39,774.24/59,654.88 = 12,072.24/x
  3. Step 3: Cross multiply
    39,774.24x = 59,654.88 × 12,072.24
  4. Step 4: Simplify right side
    39,774.24x = 720,168,028.53
  5. Step 5: Solve for x
    x = 720,168,028.53/39,774.24
  6. Step 6: Final answer
    x = 18,106.39

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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.