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Finding the Fourth Proportional to 47,321.47, 70,971.24 and 14,033.50

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Solution

The fourth proportional to 47,321.47, 70,971.24 and 14,033.50 is: 21,047.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,321.47 : 70,971.24 = 14,033.50 : x
  2. Step 2: Convert to fraction form
    47,321.47/70,971.24 = 14,033.50/x
  3. Step 3: Cross multiply
    47,321.47x = 70,971.24 × 14,033.50
  4. Step 4: Simplify right side
    47,321.47x = 995,974,896.54
  5. Step 5: Solve for x
    x = 995,974,896.54/47,321.47
  6. Step 6: Final answer
    x = 21,047.00

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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.