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Finding the Fourth Proportional to 70,993.40, 106,459.98 and 31,523.48

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Solution

The fourth proportional to 70,993.40, 106,459.98 and 31,523.48 is: 47,271.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,993.40 : 106,459.98 = 31,523.48 : x
  2. Step 2: Convert to fraction form
    70,993.40/106,459.98 = 31,523.48/x
  3. Step 3: Cross multiply
    70,993.40x = 106,459.98 × 31,523.48
  4. Step 4: Simplify right side
    70,993.40x = 3,355,989,050.33
  5. Step 5: Solve for x
    x = 3,355,989,050.33/70,993.40
  6. Step 6: Final answer
    x = 47,271.85

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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.