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Finding the Fourth Proportional to 31,474.54, 47,195.54 and 9,285.10

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Solution

The fourth proportional to 31,474.54, 47,195.54 and 9,285.10 is: 13,922.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,474.54 : 47,195.54 = 9,285.10 : x
  2. Step 2: Convert to fraction form
    31,474.54/47,195.54 = 9,285.10/x
  3. Step 3: Cross multiply
    31,474.54x = 47,195.54 × 9,285.10
  4. Step 4: Simplify right side
    31,474.54x = 438,215,308.45
  5. Step 5: Solve for x
    x = 438,215,308.45/31,474.54
  6. Step 6: Final answer
    x = 13,922.85

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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.