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Finding the Fourth Proportional to 106,399.85, 159,623.12 and 31,525.84

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Solution

The fourth proportional to 106,399.85, 159,623.12 and 31,525.84 is: 47,295.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,399.85 : 159,623.12 = 31,525.84 : x
  2. Step 2: Convert to fraction form
    106,399.85/159,623.12 = 31,525.84/x
  3. Step 3: Cross multiply
    106,399.85x = 159,623.12 × 31,525.84
  4. Step 4: Simplify right side
    106,399.85x = 5,032,253,219.76
  5. Step 5: Solve for x
    x = 5,032,253,219.76/106,399.85
  6. Step 6: Final answer
    x = 47,295.68

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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.