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Finding the Fourth Proportional to 71,313.40, 106,883.70 and 31,828.60

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Solution

The fourth proportional to 71,313.40, 106,883.70 and 31,828.60 is: 47,704.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,313.40 : 106,883.70 = 31,828.60 : x
  2. Step 2: Convert to fraction form
    71,313.40/106,883.70 = 31,828.60/x
  3. Step 3: Cross multiply
    71,313.40x = 106,883.70 × 31,828.60
  4. Step 4: Simplify right side
    71,313.40x = 3,401,958,533.82
  5. Step 5: Solve for x
    x = 3,401,958,533.82/71,313.40
  6. Step 6: Final answer
    x = 47,704.34

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1.5x scale

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.