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Finding the Fourth Proportional to 47,611.67, 71,417.60 and 12,072.98

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Solution

The fourth proportional to 47,611.67, 71,417.60 and 12,072.98 is: 18,109.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,611.67 : 71,417.60 = 12,072.98 : x
  2. Step 2: Convert to fraction form
    47,611.67/71,417.60 = 12,072.98/x
  3. Step 3: Cross multiply
    47,611.67x = 71,417.60 × 12,072.98
  4. Step 4: Simplify right side
    47,611.67x = 862,223,419.90
  5. Step 5: Solve for x
    x = 862,223,419.90/47,611.67
  6. Step 6: Final answer
    x = 18,109.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.