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Finding the Fourth Proportional to 47,000.50, 70,500.75 and 14,168.50

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Solution

The fourth proportional to 47,000.50, 70,500.75 and 14,168.50 is: 21,252.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,000.50 : 70,500.75 = 14,168.50 : x
  2. Step 2: Convert to fraction form
    47,000.50/70,500.75 = 14,168.50/x
  3. Step 3: Cross multiply
    47,000.50x = 70,500.75 × 14,168.50
  4. Step 4: Simplify right side
    47,000.50x = 998,889,876.38
  5. Step 5: Solve for x
    x = 998,889,876.38/47,000.50
  6. Step 6: Final answer
    x = 21,252.75

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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.