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Finding the Fourth Proportional to 47,275.54, 70,927.22 and 13,996.50

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Solution

The fourth proportional to 47,275.54, 70,927.22 and 13,996.50 is: 20,998.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,275.54 : 70,927.22 = 13,996.50 : x
  2. Step 2: Convert to fraction form
    47,275.54/70,927.22 = 13,996.50/x
  3. Step 3: Cross multiply
    47,275.54x = 70,927.22 × 13,996.50
  4. Step 4: Simplify right side
    47,275.54x = 992,732,834.73
  5. Step 5: Solve for x
    x = 992,732,834.73/47,275.54
  6. Step 6: Final answer
    x = 20,998.87

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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.