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Finding the Fourth Proportional to 47,662.50, 71,498.61 and 16,497.66

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Solution

The fourth proportional to 47,662.50, 71,498.61 and 16,497.66 is: 24,748.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,662.50 : 71,498.61 = 16,497.66 : x
  2. Step 2: Convert to fraction form
    47,662.50/71,498.61 = 16,497.66/x
  3. Step 3: Cross multiply
    47,662.50x = 71,498.61 × 16,497.66
  4. Step 4: Simplify right side
    47,662.50x = 1,179,559,758.25
  5. Step 5: Solve for x
    x = 1,179,559,758.25/47,662.50
  6. Step 6: Final answer
    x = 24,748.17

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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.