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Finding the Fourth Proportional to 31,729.32, 47,600.64 and 9,544.32

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Solution

The fourth proportional to 31,729.32, 47,600.64 and 9,544.32 is: 14,318.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,729.32 : 47,600.64 = 9,544.32 : x
  2. Step 2: Convert to fraction form
    31,729.32/47,600.64 = 9,544.32/x
  3. Step 3: Cross multiply
    31,729.32x = 47,600.64 × 9,544.32
  4. Step 4: Simplify right side
    31,729.32x = 454,315,740.36
  5. Step 5: Solve for x
    x = 454,315,740.36/31,729.32
  6. Step 6: Final answer
    x = 14,318.48

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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.