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Finding the Fourth Proportional to 47,732.50, 71,584.98 and 14,444.74

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Solution

The fourth proportional to 47,732.50, 71,584.98 and 14,444.74 is: 21,662.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,732.50 : 71,584.98 = 14,444.74 : x
  2. Step 2: Convert to fraction form
    47,732.50/71,584.98 = 14,444.74/x
  3. Step 3: Cross multiply
    47,732.50x = 71,584.98 × 14,444.74
  4. Step 4: Simplify right side
    47,732.50x = 1,034,026,424.01
  5. Step 5: Solve for x
    x = 1,034,026,424.01/47,732.50
  6. Step 6: Final answer
    x = 21,662.94

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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.