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Finding the Fourth Proportional to 47,812.70, 71,750.66 and 47,443.34

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Solution

The fourth proportional to 47,812.70, 71,750.66 and 47,443.34 is: 71,196.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,812.70 : 71,750.66 = 47,443.34 : x
  2. Step 2: Convert to fraction form
    47,812.70/71,750.66 = 47,443.34/x
  3. Step 3: Cross multiply
    47,812.70x = 71,750.66 × 47,443.34
  4. Step 4: Simplify right side
    47,812.70x = 3,404,090,899.76
  5. Step 5: Solve for x
    x = 3,404,090,899.76/47,812.70
  6. Step 6: Final answer
    x = 71,196.37

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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.