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Finding the Fourth Proportional to 47,768.67, 71,653.71 and 18,188.15

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Solution

The fourth proportional to 47,768.67, 71,653.71 and 18,188.15 is: 27,282.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,768.67 : 71,653.71 = 18,188.15 : x
  2. Step 2: Convert to fraction form
    47,768.67/71,653.71 = 18,188.15/x
  3. Step 3: Cross multiply
    47,768.67x = 71,653.71 × 18,188.15
  4. Step 4: Simplify right side
    47,768.67x = 1,303,248,135.47
  5. Step 5: Solve for x
    x = 1,303,248,135.47/47,768.67
  6. Step 6: Final answer
    x = 27,282.49

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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.