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Finding the Fourth Proportional to 47,701.30, 71,564.03 and 33,688.70

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Solution

The fourth proportional to 47,701.30, 71,564.03 and 33,688.70 is: 50,541.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,701.30 : 71,564.03 = 33,688.70 : x
  2. Step 2: Convert to fraction form
    47,701.30/71,564.03 = 33,688.70/x
  3. Step 3: Cross multiply
    47,701.30x = 71,564.03 × 33,688.70
  4. Step 4: Simplify right side
    47,701.30x = 2,410,899,137.46
  5. Step 5: Solve for x
    x = 2,410,899,137.46/47,701.30
  6. Step 6: Final answer
    x = 50,541.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.