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Finding the Fourth Proportional to 47,676.26, 71,436.62 and 24,270.50

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Solution

The fourth proportional to 47,676.26, 71,436.62 and 24,270.50 is: 36,366.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,676.26 : 71,436.62 = 24,270.50 : x
  2. Step 2: Convert to fraction form
    47,676.26/71,436.62 = 24,270.50/x
  3. Step 3: Cross multiply
    47,676.26x = 71,436.62 × 24,270.50
  4. Step 4: Simplify right side
    47,676.26x = 1,733,802,485.71
  5. Step 5: Solve for x
    x = 1,733,802,485.71/47,676.26
  6. Step 6: Final answer
    x = 36,366.16

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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.